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

Two trains A and B started at the same time from Delhi with the speeds of 60 km/h and 80 km/h, respectively. They did not stop anywhere up to Kanpur. Train 'A' reached Kanpur 40 minutes after train 'B' reached. What is the distance between Delhi and Kanpur?

  1. 120 km

  2. 140 km

  3. 160 km

  4. 180 km

  5. 200 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance be D. Time for A = D/60, time for B = D/80. Difference = 40 minutes = 2/3 hours. D/60 - D/80 = 2/3. (4D - 3D)/240 = 2/3. D/240 = 2/3. D = 160 km.

Multiple choice

The ratio of the speeds of A and B is 2 : 3. B takes 20 minutes less time than A to reach the destination Q, if both started from the same point P, simultaneously. What is the speed of A, if the distance between P and Q is 80 km?

  1. 80 km/h

  2. 75 km/h

  3. 72 km/h

  4. 70 km/h

  5. 60 km/h
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed ratio A:B = 2:3, so time ratio A:B = 3:2. Let time for A be 3t and B be 2t. 3t - 2t = 20 mins = 1/3 hour. So t = 1/3 hour. Time for A = 3t = 1 hour. Speed of A = Distance / Time = 80 km / 1 hour = 80 km/h.

Multiple choice

Two persons start from A and B, moving towards each other with speeds of 25 kmph and 49 kmph, respectively. After they cross each other, the person who started from B covers 145 km to reach A. What is the distance (in km) between A and B?

  1. 145 km

  2. 429.2 km

  3. 574.2 km

  4. Cannot be determined

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

Marked price (MP) = 1.3 * CP. Selling price (SP) = 0.9 * MP = 0.9 * 1.3 * CP = 1.17 * CP. Given SP = 702, CP = 702 / 1.17 = 600.

Multiple choice

A thief steals a car at 1:30 p.m. and drives at 40 kmph. At 2:00 p.m, the owner starts chasing his car at 50 kmph. At what time will he catch the thief?

  1. 4:00 p.m.

  2. 2:30 p.m.

  3. 2:00 p.m.

  4. Cannot be determined

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

The thief has a 30-minute (0.5 hour) head start, covering 40 * 0.5 = 20 km. The relative speed of the owner is 50 - 40 = 10 km/h. Time to catch = 20 km / 10 km/h = 2 hours. Starting from 2:00 p.m., the owner catches the thief at 4:00 p.m.

Multiple choice

A bus takes 3 hours to travel from A to B. How long will a car take to travel one quarter of the same distance at an average speed that is one and a half times that of the bus?

  1. 15 minutes

  2. 25 minutes

  3. 30 minutes

  4. 45 minutes

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

Distance AB = Speed * Time = 66 * 3 = 198 km. One quarter distance = 198/4 = 49.5 km. New speed = 1.5 * 66 = 99 km/hr. Time = Distance / Speed = 49.5 / 99 = 0.5 hours = 30 minutes.

Multiple choice

A 1.75 m3 capacity tractor loader has a forward loaded speed of 240 m/min, returning unloaded speed of 300 m/min and operates at 80% of the specified speed. It hauls earth over a distance of 60 m with fixed time per trip being 25 seconds. What is its effective cycle time?

  1. 54.25 seconds

  2. 55.50 seconds

  3. 56.75 seconds

  4. 58.75 seconds
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Speed = 80% of specified. Forward speed = 240 * 0.8 = 192 m/min. Return speed = 300 * 0.8 = 240 m/min. Distance = 60m. Time forward = 60/192 = 0.3125 min = 18.75 sec. Time return = 60/240 = 0.25 min = 15 sec. Fixed time = 25 sec. Total = 18.75 + 15 + 25 = 58.75 sec.

Multiple choice

A person rides a distance of 2 km in 1 minute 40 seconds from his home to school on his bike. On another day, he cycles the same route at a speed of 12 m/s. How much time does he take to reach his school?

  1. 1 minute 46 seconds

  2. 2 minute 24 seconds

  3. 2 minute 30 seconds

  4. 2 minute 47 seconds

  5. 2 minute 53 seconds
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Distance = 2000 meters. Speed = 12 m/s. Time = Distance / Speed = 2000 / 12 = 166.66 seconds. 166.66 seconds = 2 minutes and 46.66 seconds, which is approximately 2 minutes 47 seconds.