Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
All Core formulas and unit conversion 441 Boats and streams effective speed 396 Relative speed, meetings, and overtaking 375 Average speed 362 Early and late arrival 321 Proportional relationships 202 Stoppage time per hour 35 Train and stationary or moving object crossing 17 Races and dead heats 16

Time, Speed and Distance Questions

Multiple choice

Without stoppages, a train travels with an average speed of 40 km/hr, while with stoppages, it covers the same distance with an average speed of 30 km/hr. What is the time (in minutes per hour) for which the train stops?

  1. 20

  2. 30

  3. 10

  4. 15

  5. 12
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In 1 hour, the train covers 40 km without stops and 30 km with stops. The loss of 10 km is due to stops. Time taken to cover 10 km at 40 km/hr is (10/40) * 60 = 15 minutes.

Multiple choice

A steamer goes downstream and covers the distance between two ports in 4 hours, while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km per hour, find the speed of the steamer in still water.

  1. 36 km/hr

  2. 24 km/hr

  3. 18 km/hr

  4. 16 km/hr

  5. 10 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let v be the speed of the steamer and u = 2 be the speed of the stream. Downstream speed = v+2, upstream speed = v-2. Distance = (v+2)*4 = (v-2)*5. 4v + 8 = 5v - 10. v = 18 km/hr.

Multiple choice

Kumail leaves his house on his motorbike at a speed of 35 km/hr. After driving for 50 minutes, his motorbike runs out of fuel, so he gets into a cab. The cab is driving at a speed of 80 km/hr and Kumail gets off the cab after 80 minutes. How much distance does he travel in total?

  1. 135.9 km

  2. 115.3 km

  3. 133.3 km

  4. 151.6 km

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Distance 1 = 35 km/hr * (50/60) hr = 35 * 5/6 = 29.166 km. Distance 2 = 80 km/hr * (80/60) hr = 80 * 4/3 = 106.666 km. Total distance = 29.166 + 106.666 = 135.833 km, which rounds to 135.9 km.

Multiple choice

Mohak is travelling from one part of Toronto to another, which is 30 km away. He began his journey in a metro at the speed of 50 km/h and covered half of the distance. Then, he covered the rest of the distance in a local bus at a speed of 20 km/h. How much time did he take to reach from one part of Toronto to another?

  1. 0.45 hours

  2. 0.75 hours

  3. 1.05 hour

  4. 1.20 hours

  5. 1.50 hours
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance = 30 km. Half distance = 15 km. Time 1 = 15/50 = 0.3 hours. Time 2 = 15/20 = 0.75 hours. Total time = 0.3 + 0.75 = 1.05 hours.

Multiple choice

Four friends planned a road trip from Ludhiana to Gurugram. They went there by car and the distance was 360 km. They took 4 stoppages of half an hour each. They started their journey at 7 a.m. in the morning and they reached Gurugram at 1 p.m. Find the speed of the car.

  1. 80 km/hr

  2. 60 km/hr

  3. 70 km/hr

  4. 90 km/hr

  5. 46 km/hr
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total time elapsed = 6 hours. Stoppages = 4 * 0.5 = 2 hours. Driving time = 6 - 2 = 4 hours. Speed = Distance / Driving Time = 360 / 4 = 90 km/hr.

Multiple choice

Two cars are running along the same road. The first one, which is running at the rate of 30 km/hr, starts 6 hours ahead of the second one, which is running at the rate of 50 km/hr. How much distance would the first car have travelled before the second car catches up? at such time?

  1. 400 k.m.

  2. 450 k.m.

  3. 360 k.m.

  4. 375 k.m.

  5. 470 k. m.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First car travels 30 km/h for 6 hours before second starts = 180 km. Relative speed = 50 - 30 = 20 km/h. Time to catch up = 180 / 20 = 9 hours. Distance traveled by first car = 180 + (30 * 9) = 180 + 270 = 450 km.