Time, Speed & Distance

J&K Bank Banking Associate · Quantitative Aptitude · 106 practice questions with answers and explanations: 49 Easy, 54 Medium, 3 Hard.

Sample questions

Sample Easy question 1

A car travels at 60 km/h for 2.5 hours. What distance does it cover?

  1. 160 km
  2. 150 km
  3. 130 km
  4. 140 km
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Answer: B. Distance = speed × time = 60 × 2.5 = 150 km.

Sample Easy question 2

How much time does it take to cover 100 km at a speed of 40 km/h?

  1. 2.25 hrs
  2. 2 hrs
  3. 2.5 hrs
  4. 2.75 hrs
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Answer: C. Time = distance/speed = 100/40 = 2.5 hours.

Sample Easy question 3

Convert a speed of 72 km/h into m/s.

  1. 18 m/s
  2. 20 m/s
  3. 22 m/s
  4. 24 m/s
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Answer: B. 72 km/h × (5/18) = 20 m/s.

Sample Medium question 4

A boat's speed in still water is 12 km/h and the current's speed is 3 km/h. Find the time taken to travel 45 km downstream.

  1. 3 hours
  2. 3.5 hours
  3. 2.5 hours
  4. 4 hours
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Answer: A. Downstream speed = 12+3 = 15 km/h. Time = 45/15 = 3 hours.

Sample Medium question 5

A car travels from city A to city B at 30 km/h and returns at 50 km/h. Find its average speed for the entire journey.

  1. 40 km/h
  2. 36 km/h
  3. 38 km/h
  4. 37.5 km/h
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Answer: D. Average speed for a round trip = 2xy/(x+y) = 2×30×50/80 = 37.5 km/h.

Sample Medium question 6

A is twice as fast a runner as B. In a 300 m race, what head start should A give B so that they finish in a dead heat?

  1. 100 m
  2. 150 m
  3. 180 m
  4. 120 m
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Answer: B. For a dead heat, both must take the same time. If A gives B a head start of h, B runs (300-h) m while A runs 300 m, in the same time. Since A is twice as fast: 300/(2v) = (300-h)/v, giving 150 = 300-h, so h = 150 m.

Sample Hard question 7

A train overtakes two persons walking in the same direction at 3 km/h and 5 km/h respectively, and passes them in 10 and 11 seconds respectively. Find the speed of the train (in km/h).

  1. 27 km/h
  2. 23 km/h
  3. 25 km/h
  4. 29 km/h
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Answer: C. Since the train's length L is the same in both cases: (V-3)×10 = (V-5)×11 (using relative speed × time). This gives 10V-30 = 11V-55, so V = 25 km/h.

Sample Hard question 8

A thief is spotted by a policeman 200 m away. When the policeman starts chasing, the thief also starts running. If the thief's speed is 8 km/h and the policeman's speed is 10 km/h, find the distance the thief runs before being caught.

  1. 900 m
  2. 800 m
  3. 850 m
  4. 750 m
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Answer: B. Relative speed = 10-8 = 2 km/h. Time to close 200 m (0.2 km) gap = 0.2/2 = 0.1 hours. Distance thief runs = 8 × 0.1 = 0.8 km = 800 m.

Sample Hard question 9

Walking at 5 km/h, a man is 6 minutes late; walking at 6 km/h, he is 2 minutes early. Find the distance to his destination.

  1. 4 km
  2. 4.5 km
  3. 3 km
  4. 3.5 km
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Answer: A. The time difference is 8 minutes = 8/60 hr; solving d/5 - d/6 = 8/60 gives d = 4 km.

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