IUC AcademyHome241. Ram is travelling at a speed of 72 km per hour while Shyam is travelling at a speed of 90 km per hour. what is the difference in their speeds (in metres per second)?
- A. 5
- B. 4
- C. 6
- D. 7
Answer: 5
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242. With an average speed of 60 km/h, a train reaches its destination on time. If it goes with an average speed of 45 km/h, it is late by 20 minutes. The distance covered by the train is _____.
- A. 30 km
- B. 40 km
- C. 50 km
- D. 60 km
Answer: 60 km
Explanation: Let the distance covered by the train = x km According to the question, x x 20 45 60 60- = 4x 3x 1 180 3 - = x 1 180 3= x = 60 km
Explanation: Let the distance covered by the train = x km According to the question, x x 20 45 60 60- = 4x 3x 1 180 3 - = x 1 180 3= x = 60 km
243. Manish goes to his home town at a speed of 40 km/hr and returns to his home at a speed of y km/hr. The distance between his house and home town is 360 km. If he takes a total of 21 hours, what is the value of y?
- A. 25 km/hr
- B. 28 km/hr
- C. 30 km/hr
- D. 33 km/hr
Answer: 30 km/hr
Explanation: According to questions - 360 360 2140 y+ = 120 120 740 y+ = 120 = 7 - 3y 120 4y = y = 30 km/hr
Explanation: According to questions - 360 360 2140 y+ = 120 120 740 y+ = 120 = 7 - 3y 120 4y = y = 30 km/hr
244. A train runs at a speed of 25 m/s for 8 hours what is the distance (in km) covered by the vehicle?
- A. 360
- B. 720
- C. 450
- D. 900
Answer: 360
Explanation: (b) Given, speed = 25 m/s 1825 km / hr5= × = 90 km/h So, distance covered by the car = speed × time = 90 × 8 = 720 km
Explanation: (b) Given, speed = 25 m/s 1825 km / hr5= × = 90 km/h So, distance covered by the car = speed × time = 90 × 8 = 720 km
245. Bike A travels a certain distance in 2 hours at a speed of 30 km/h, while another bike B travels the same distance as Bike A at a speed of 35 km/h. what is the ratio of time taken by bike A to the time taken by bike B?
- A. 7 : 6
- B. 8 : 5
- C. 6 : 7
- D. 5 : 6
Answer: 7 : 6
246. A car starts at a speed of 80 km/h and at every two hours its speed increases by 8 km/h. In how much time will it cover the distance of 432 km ?
- A. 6 Hours 30 minute
- B. 5 Hours 30 minute
- C. 5 Hours
- D. 6 Hours
Answer: 5 Hours
247. A truck moving at a speed of 35 km/h covers a distance of 140 km. If the truck covers the next 20 km distance in 30 minutes and the last 30 km distance at a speed of 60 km/h. what is the average speed of the truck (in km/h)?
- A. 40
- B. 42
- C. 48.5
- D. 38
Answer: 38
248. The distance between two cities is covered in 7 hours at a speed of 50 km/h. By how much should the speed (in km/h) by increased so that 2 hours of travel time is saved?
- A. 70
- B. 20
- C. 30
- D. 40
Answer: 20
249. Arun is driving a car to cover a distance of 225.5 km in 660 minutes. what is his speed in km/h
- A. 21.5
- B. 20.5
- C. 20.2
- D. 22
Answer: 20.5
Explanation: time =660 minutes 660= hours60 = 11 hours and, distance 2255= km10 = 225.5 km So, speed 2255= 11×10 205= 10 = 20.5 km/h
Explanation: time =660 minutes 660= hours60 = 11 hours and, distance 2255= km10 = 225.5 km So, speed 2255= 11×10 205= 10 = 20.5 km/h
250. In a circular race along a track 3600m. x and y run at a speed of 27 km/hr and 45 km/hr respectively. suppose they start moving at the same time and in the same direction, when will they meet again at the starting point?
- A. 720 sec
- B. 1440 sec
- C. 2200 sec
- D. 1200 sec
Answer: 720 sec
Explanation: Time taken by x to complete one revolution of the path 3600= 480 527× 18 = second time taken by y to complete one revolution of the p ath 3600= = 288545× 18 second. Now time taken by x and y to meet at the starting p oint again = LCM of (480, 288) = 1440 second Hence, x and y will meet again at the starting poin t after 1440 second.
Explanation: Time taken by x to complete one revolution of the path 3600= 480 527× 18 = second time taken by y to complete one revolution of the p ath 3600= = 288545× 18 second. Now time taken by x and y to meet at the starting p oint again = LCM of (480, 288) = 1440 second Hence, x and y will meet again at the starting poin t after 1440 second.
251. Reshma covers a distance of 45 km by bicycle at a speed of 15 km/hr and distance of 80 km by car at a speed of 40 km/hr and the remaining 6 km on foot at a speed of 2 km/hr. Find his average speed for the entire journey (rounded to 2 decimal places).
- A. 15.25 km/hr
- B. 16.38 km/hr
- C. 43.50 km/hr
- D. 18.36 km/hr
Answer: 16.38 km/hr
252. In a 1200m race, bike A beats bike B by 100 m. Bike B beats bike C by 100m in a 600m race. If bike A beats bike C by 30 second in a 720m race, calculate the speed of bike C.?
- A. 26 m / sec3
- B. 17 m / sec9
- C. 17 m / sec3
- D. 26 m / sec9
Answer: 17 m / sec3
Explanation: As per the question, A : B : C 1200 : 1100 : 1100 600 : 600 : 500 720 : 660 : 550 So when bike A covers 720m then bike C covers 550m. So difference = ( 720 - 550) m in 30 second Hence, speed of bike C = 170m 17 m/sec30 3 =
Explanation: As per the question, A : B : C 1200 : 1100 : 1100 600 : 600 : 500 720 : 660 : 550 So when bike A covers 720m then bike C covers 550m. So difference = ( 720 - 550) m in 30 second Hence, speed of bike C = 170m 17 m/sec30 3 =
253. A dog saw a cat at a distance of 280m. The cat started running at a speed of 10 km/hr and the dog also ran to catch the cat at a speed of 24 km/hr. How much time will the dog take to catch the cat.
- A. 1.5 minute
- B. 1.2 minute
- C. 1.3 minute
- D. 1.4 minute
Answer: 1.2 minute
254. If Ram travels a certain distance at 60% of his normal speed then he reaches his destination by 36 minutes late. His normal time (In min) to reach the destination is ?
- A. 72
- B. 50
- C. 54
- D. 60
Answer: 54
Explanation: QThe distance is constant. So, ∴ Time ∝ 1speed Given, speed = 60% of normal speed Ratio of speed → 100 : 60 ⇒ 5 : 3 So, time taken → 3 : 5 here, 5 - 3 = 2 → 36 minutes Normal time (3) → 36 32 × = 54 minutes.
Explanation: QThe distance is constant. So, ∴ Time ∝ 1speed Given, speed = 60% of normal speed Ratio of speed → 100 : 60 ⇒ 5 : 3 So, time taken → 3 : 5 here, 5 - 3 = 2 → 36 minutes Normal time (3) → 36 32 × = 54 minutes.
255. A truck runs 492 km on 36 liters of diesel. How many kilometers can it run on 33 liters diesel?
- A. 454 km
- B. 451 km
- C. 453 km
- D. 452 km
Answer: 451 km
Explanation: Distance covered by truck in 36 liters diesel = 492 km then, in 33 liters diesel distance covered by the t ruck 492 3336= × 451 km. =
Explanation: Distance covered by truck in 36 liters diesel = 492 km then, in 33 liters diesel distance covered by the t ruck 492 3336= × 451 km. =
256. Shreya climbs a hill at a speed of 5 miles/hr and descends the hill at a speed of 7 miles/hr. If he takes a total of 3 hour in this two-way journey, what is distance between the top and the foot of the hill?
- A. 8 miles
- B. 9 miles
- C. 6.75 miles
- D. 8.75 miles
Answer: 8.75 miles
257. The speed of a car is 63 km/hr what is the distance covered by it in 10 seconds?
- A. 185 m
- B. 175 m
- C. 1.75 km
- D. 17.5 km
Answer: 175 m
Explanation: Distance covered by the car = 63 × 518 ×10 = 175m
Explanation: Distance covered by the car = 63 × 518 ×10 = 175m
258. Vipin covers one third distance of a journey at a speed of 30 km/hr and the remaining distance at a speed of 40 km/hr. If he take a total of 12 hour to complete the journey, what was the total distance (in km) travelled by him?
- A. 445
- B. 412
- C. 432
- D. 450
Answer: 432
259. If a person walks at a speed of 18 km/hr instead of 12 km/hr. he walks 24 km more. what is the actual distance covered by him?
- A. 52 km
- B. 48 km
- C. 60 km
- D. 55 km
Answer: 48 km
260. A boy travels a certain distance between his home and school by bicycle. walking at an average speed of 10 km/hr he reaches school 10 minutes late. if he walk at an average speed of 15 km/hr he reaches there 5 minutes earlier. find the distance between his home and school.
- A. 7 km
- B. 8.5 km
- C. 7.5 km
- D. 8 km
Answer: 7.5 km
261. A train 150 metres long is running at a speed of 54 km/hr. How long will it take to cross a platform 100 metres long?
- A. 20 seconds
- B. 16.67 seconds
- C. 5 seconds
- D. 10 seconds
Answer: 16.67 seconds
Explanation: Speed 54 km/hr = 54 x 5/18 = 15 m/s. Distance = 150 + 100 = 250 m, so time = 250/15 = 16.67 seconds.
Explanation: Speed 54 km/hr = 54 x 5/18 = 15 m/s. Distance = 150 + 100 = 250 m, so time = 250/15 = 16.67 seconds.
262. A train 150m long crosses a platform 250m long in 20 seconds. What is the speed of the train in km/hr?
- A. 72 km/hr
- B. 80 km/hr
- C. 90 km/hr
- D. 60 km/hr
Answer: 72 km/hr
Explanation: Distance covered = train + platform = 150 + 250 = 400 m in 20 s, so speed = 20 m/s. In km/hr: 20 x 18/5 = 72.
Explanation: Distance covered = train + platform = 150 + 250 = 400 m in 20 s, so speed = 20 m/s. In km/hr: 20 x 18/5 = 72.
263. Find the angle between the hour and minute hands of a clock at 10:10.
- A. 125°
- B. 120°
- C. 105°
- D. 115°
Answer: 115°
264. Find the angle between the hour and minute hands of a clock at 1:50.
- A. 110°
- B. 115°
- C. 125°
- D. 105°
Answer: 115°
265. In a 100m race, A gives B a start of 15m and still beats B by 10m. Find the ratio of speeds of A to B.
- A. 5:4
- B. 4:3
- C. 15:10
- D. 3:4
Answer: 4:3
266. In a 200m race, A finishes in 40 seconds and B finishes in 50 seconds. If both run at constant speed, by how many metres does A win?
- A. 40 metres
- B. 45 metres
- C. 30 metres
- D. 50 metres
Answer: 40 metres
267. Find the angle between the hour and minute hands of a clock at 11:20.
- A. 140°
- B. 150°
- C. 130°
- D. 145°
Answer: 140°
268. Find the angle between the hour and minute hands of a clock at 8:10.
- A. 170°
- B. 175°
- C. 165°
- D. 180°
Answer: 175°
269. Find the angle between the hour and minute hands of a clock at 7:20.
- A. 120°
- B. 90°
- C. 110°
- D. 100°
Answer: 100°
270. Find the angle traced by the minute hand of a clock in 20 minutes.
- A. 120°
- B. 110°
- C. 100°
- D. 90°
Answer: 120°
271. In a 400m race, A's speed is 8 m/s and B's speed is 5 m/s. Find how much time A takes to finish the race.
- A. 50 seconds
- B. 45 seconds
- C. 55 seconds
- D. 60 seconds
Answer: 50 seconds
272. In a race, A can run 100m in 12 seconds and B can run 100m in 15 seconds. Find the distance by which A beats B in a 100m race (assuming constant speed).
- A. 15 metres
- B. 18 metres
- C. 25 metres
- D. 20 metres
Answer: 20 metres
273. In a 100m race, A gives B a start of 20m and still beats B by 5m. Find the ratio of speeds of A to B.
- A. 5:4
- B. 5:3
- C. 3:2
- D. 4:3
Answer: 4:3
274. In a 100m race, A finishes in 20 seconds and B finishes in 25 seconds. If both run at constant speed, by how many metres does A win?
- A. 20 metres
- B. 10 metres
- C. 15 metres
- D. 25 metres
Answer: 20 metres
275. In a 100m race, A finishes in 10 seconds and B finishes in 12.5 seconds. If both run at constant speed, by how many metres does A win?
- A. 25 metres
- B. 20 metres
- C. 15 metres
- D. 12.5 metres
Answer: 20 metres
276. A boat's speed in still water is 15 km/h and the stream's speed is 3 km/h. Find the boat's downstream speed.
- A. 21 km/h
- B. 18 km/h
- C. 12 km/h
- D. 15 km/h
Answer: 18 km/h
277. A boat's speed in still water is 8 km/h and the stream's speed is 2 km/h. Find the total time taken to row 30 km downstream and 30 km back upstream.
- A. 9 hours
- B. 6 hours
- C. 8 hours
- D. 7.5 hours
Answer: 8 hours
278. A man rows 30 km downstream in 3 hours and 30 km upstream in 6 hours. Find the speed of the stream.
- A. 2 km/h
- B. 3 km/h
- C. 5 km/h
- D. 2.5 km/h
Answer: 2.5 km/h
279. A man rows 30 km downstream in 3 hours and 30 km upstream in 6 hours. Find the speed of the boat in still water.
- A. 10 km/h
- B. 7 km/h
- C. 7.5 km/h
- D. 8 km/h
Answer: 7.5 km/h
280. A boat's downstream speed is 14 km/h and upstream speed is 8 km/h. Find the speed of the stream.
- A. 3 km/h
- B. 5 km/h
- C. 2 km/h
- D. 4 km/h
Answer: 3 km/h
281. A boat's downstream speed is 14 km/h and upstream speed is 8 km/h. Find the speed of the boat in still water.
- A. 10 km/h
- B. 11 km/h
- C. 13 km/h
- D. 12 km/h
Answer: 11 km/h
282. The length of platform is double of the length of train. Speed of the train is 144 km/hr. If train crosses the platform in 30 seconds, then what is the length of the platform?
- A. 600 metres
- B. 800 metres
- C. 500 metres
- D. 400 metres
Answer: 800 metres
Explanation: Length of Train = x meters Length of platform = 2x meters According to the question, x 2x 305144 18+ =× 3x = 30×40 x = 400 meters Length of platform = 2x = 2×400 = 800 meters
Explanation: Length of Train = x meters Length of platform = 2x meters According to the question, x 2x 305144 18+ =× 3x = 30×40 x = 400 meters Length of platform = 2x = 2×400 = 800 meters
283. A boat's speed in still water is 10 km/h and the speed of the stream is 2 km/h. Find the boat's downstream speed.
- A. 14 km/h
- B. 10 km/h
- C. 12 km/h
- D. 8 km/h
Answer: 12 km/h
284. Two cars travel in the same direction at 70 km/h and 50 km/h. If the faster car is 30 km behind, find the time it takes to overtake the slower car.
- A. 2.0 hours
- B. 2 hours
- C. 1.5 hours
- D. 1.0 hours
Answer: 1.5 hours
285. Two cars travel in the same direction at 50 km/h and 30 km/h. If the faster car is 25 km behind, find the time it takes to overtake the slower car.
- A. 2 hours
- B. 1.75 hours
- C. 0.75 hours
- D. 1.25 hours
Answer: 1.25 hours
286. A person covers 90 km at 45 km/h and the next 90 km at 60 km/h. Find the total time taken.
- A. 3.5 hours
- B. 4.0 hours
- C. 3 hours
- D. 3.0 hours
Answer: 3.5 hours
287. A person covers 60 km at 40 km/h and the next 60 km at 60 km/h. Find the total time taken.
- A. 2.5 hours
- B. 2.0 hours
- C. 3.0 hours
- D. 2 hours
Answer: 2.5 hours
288. Two trains 450 km apart start moving towards each other at 60 km/h and 50 km/h. Find the time after which they meet.
- A. 5.09 hours
- B. 6 hours
- C. 4.09 hours
- D. 3.09 hours
Answer: 4.09 hours
289. Two trains 360 km apart start moving towards each other at 50 km/h and 40 km/h. Find the time after which they meet.
- A. 5 hours
- B. 3 hours
- C. 6 hours
- D. 4 hours
Answer: 4 hours
290. A boat's downstream speed is 22 km/h and upstream speed is 14 km/h. Find the speed of the boat in still water and the speed of the current.
- A. Boat=18.0 km/h, Current=4.0 km/h
- B. Boat=22 km/h, Current=14 km/h
- C. Boat=20.0 km/h, Current=2.0 km/h
- D. Boat=16.0 km/h, Current=6.0 km/h
Answer: Boat=18.0 km/h, Current=4.0 km/h
291. A boat's downstream speed is 24 km/h and upstream speed is 16 km/h. Find the speed of the boat in still water and the speed of the current.
- A. Boat=24 km/h, Current=16 km/h
- B. Boat=18.0 km/h, Current=6.0 km/h
- C. Boat=22.0 km/h, Current=2.0 km/h
- D. Boat=20.0 km/h, Current=4.0 km/h
Answer: Boat=20.0 km/h, Current=4.0 km/h
292. A 160m train and a 240m train move towards each other at 42 km/h and 38 km/h. Find the time taken to cross each other.
- A. 15 sec
- B. ≈18 sec
- C. 21 sec
- D. 24 sec
Answer: ≈18 sec
293. A 180m train and a 220m train move towards each other at 50 km/h and 30 km/h. Find the time taken to cross each other.
- A. 15 sec
- B. 24 sec
- C. 21 sec
- D. ≈18 sec
Answer: ≈18 sec
294. Two cars start from the same point in opposite directions at 35 km/h and 45 km/h. Find the distance between them after 5 hours.
- A. 50 km
- B. 420 km
- C. 380 km
- D. 400 km
Answer: 400 km
295. Two cars start from the same point in opposite directions at 55 km/h and 65 km/h. Find the distance between them after 2 hours.
- A. 20 km
- B. 220 km
- C. 240 km
- D. 260 km
Answer: 240 km
296. A train 210m long crosses a pole in 14 seconds. Find the speed in km/h.
- A. 46 km/h
- B. 54 km/h
- C. 62 km/h
- D. 70 km/h
Answer: 54 km/h
297. A train 240m long crosses a pole in 16 seconds. Find the speed in km/h.
- A. 46 km/h
- B. 70 km/h
- C. 62 km/h
- D. 54 km/h
Answer: 54 km/h
298. A train 120m long crosses a pole in 10 seconds. Find the speed in km/h.
- A. 59.2 km/h
- B. 35.2 km/h
- C. 51.2 km/h
- D. 43.2 km/h
Answer: 43.2 km/h
299. Convert 108 km/h to m/s.
- A. 30 m/s
- B. 28 m/s
- C. 35 m/s
- D. 32 m/s
Answer: 30 m/s
300. Convert 63 km/h to m/s.
- A. 19.5 m/s
- B. 22.5 m/s
- C. 17.5 m/s
- D. 15.5 m/s
Answer: 17.5 m/s
301. Convert 45 km/h to m/s.
- A. 17.5 m/s
- B. 14.5 m/s
- C. 12.5 m/s
- D. 10.5 m/s
Answer: 12.5 m/s
302. Convert 36 km/h to m/s.
- A. 10 m/s
- B. 8 m/s
- C. 12 m/s
- D. 15 m/s
Answer: 10 m/s
303. A car travels 450 km in 5 hours. Find the speed.
- A. 100 km/h
- B. 70 km/h
- C. 90 km/h
- D. 80 km/h
Answer: 90 km/h
304. A car travels 360 km in 6 hours. Find the speed.
- A. 40 km/h
- B. 70 km/h
- C. 60 km/h
- D. 50 km/h
Answer: 60 km/h
305. A car travels 280 km in 4 hours. Find the speed.
- A. 70 km/h
- B. 80 km/h
- C. 50 km/h
- D. 60 km/h
Answer: 70 km/h
306. Two trains 400 km apart start moving towards each other at 65 km/h and 55 km/h. Find the time after which they meet.
- A. 4 hours
- B. 3.6 hours
- C. 3 hours
- D. ≈3.33 hours
Answer: ≈3.33 hours
307. A boat's downstream speed is 18 km/h and upstream speed is 10 km/h. Find the speed of the boat in still water and the speed of the current.
- A. Boat=14 km/h, Current=4 km/h
- B. Boat=14 km/h, Current=8 km/h
- C. Boat=12 km/h, Current=6 km/h
- D. Boat=16 km/h, Current=2 km/h
Answer: Boat=14 km/h, Current=4 km/h
308. A 250m train and a 350m train move towards each other at 45 km/h and 30 km/h. Find the time taken to cross each other.
- A. 28.8 seconds
- B. 24 seconds
- C. 32 seconds
- D. 30 seconds
Answer: 28.8 seconds
309. Two cars start from the same point in opposite directions at 50 km/h and 45 km/h. Find the distance between them after 4 hours.
- A. 380 km
- B. 360 km
- C. 400 km
- D. 350 km
Answer: 380 km
310. A train 180m long crosses a pole in 12 seconds. Find the speed in km/h.
- A. 54 km/h
- B. 50 km/h
- C. 45 km/h
- D. 60 km/h
Answer: 54 km/h
311. Convert 54 km/h to m/s.
- A. 12 m/s
- B. 15 m/s
- C. 20 m/s
- D. 18 m/s
Answer: 15 m/s
312. A car travels 320 km in 4 hours. Find the speed.
- A. 90 km/h
- B. 70 km/h
- C. 80 km/h
- D. 75 km/h
Answer: 80 km/h
313. Two cars travel in the same direction at 60 km/h and 40 km/h. If the faster car is 20 km behind, find the time it takes to overtake the slower car.
- A. 1 hour
- B. 0.5 hours
- C. 1.5 hours
- D. 2 hours
Answer: 1 hour
314. A person covers 75 km at 50 km/h and the next 75 km at 75 km/h. Find the total time taken.
- A. 2 hours
- B. 3 hours
- C. 2.5 hours
- D. 2.25 hours
Answer: 2.5 hours
315. Convert 90 km/h to m/s.
- A. 30 m/s
- B. 25 m/s
- C. 22.5 m/s
- D. 20 m/s
Answer: 25 m/s
316. Two trains 320 km apart start moving towards each other at 60 km/h and 70 km/h. Find the time after which they meet.
- A. 2.8 hours
- B. 3 hours
- C. 2 hours
- D. ≈2.46 hours
Answer: ≈2.46 hours
317. A boat's downstream speed is 20 km/h and upstream speed is 12 km/h. Find the speed of the boat in still water and the speed of the current.
- A. Boat=18 km/h, Current=2 km/h
- B. Boat=16 km/h, Current=4 km/h
- C. Boat=14 km/h, Current=6 km/h
- D. Boat=16 km/h, Current=8 km/h
Answer: Boat=16 km/h, Current=4 km/h
318. A 200m train and a 300m train move towards each other at 40 km/h and 35 km/h. Find the time taken to cross each other.
- A. 18 seconds
- B. 24 seconds
- C. 20 seconds
- D. 30 seconds
Answer: 24 seconds
319. Two cars start from the same point in opposite directions at 40 km/h and 60 km/h. Find the distance between them after 3 hours.
- A. 320 km
- B. 280 km
- C. 250 km
- D. 300 km
Answer: 300 km
320. A train 150m long crosses a pole in 15 seconds. Find the speed in km/h.
- A. 30 km/h
- B. 40 km/h
- C. 45 km/h
- D. 36 km/h
Answer: 36 km/h