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

Trains A and B are 220 km apart as they start moving towards each other with speeds of 60 kmph and 50 kmph, respectively. After 1 hour, if train A decreases its speed to 50 kmph, then how much more time will it take for the trains to meet?

  1. 44 minutes

  2. 66 minutes

  3. 56 minutes

  4. 70 minutes

  5. 72 minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In the first hour, the trains cover (60 + 50) * 1 = 110 km. Remaining distance is 220 - 110 = 110 km. With both speeds now 50 kmph, the relative speed is 50 + 50 = 100 kmph. Time = 110 / 100 = 1.1 hours, which is 66 minutes.

Multiple choice

A man covered a distance of 200 km by train and bus. He covered 160 km by train and 40 km by bus, and it took him 3 hours in it. If he had covered half the distance by train and half by bus, it would have taken him him 3 hours and 45 minutes. Find the speed of train.

  1. 40 kmph

  2. 50 kmph

  3. 60 kmph

  4. 80 kmph

  5. 100 kmph
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let train speed be x and bus speed be y. 160/x + 40/y = 3. Also 100/x + 100/y = 3.75 (3 hours 45 mins). Solving this system: 100/x + 100/y = 15/4 => 1/x + 1/y = 15/400 = 3/80. From first: 4/x + 1/y = 3/40. Subtracting: 3/x = 3/40 - 3/80 = 3/80, so x = 80.

Multiple choice

A, B and C take part in a race over a distance of d metres at uniform speed. If A can beat B by 20 metres, B can beat C by 10 metres and A can beat C by 28 metres, then what is the value of d?

  1. 50 metres

  2. 75 metres

  3. 100 metres

  4. 120 metres

  5. 150 metres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A/B = d/(d-20), B/C = d/(d-10). A/C = A/B * B/C = d^2 / ((d-20)(d-10)). Given A/C = d/(d-28). So, d/(d-28) = d^2 / (d^2 - 30d + 200). Solving for d: d^2 - 30d + 200 = d^2 - 28d. 2d = 200, d = 100.

Multiple choice

A motorboat covers a distance of 102 km downstream in 2 hours 50 minutes. If the speed of current is 1/2 of the speed of boat, then in how much time will it cover the distance of 162 km upstream?

  1. 12.5 hr

  2. 12.7 hr

  3. 11.5 hr

  4. 13.5 hr

  5. 13.8 hr
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Downstream speed = 102 km / (170/60 hr) = 102 * 60 / 170 = 36 km/h. Let boat speed be B and current speed be C. B + C = 36. Since C = B/2, B + B/2 = 36, so 1.5B = 36, B = 24 km/h, C = 12 km/h. Upstream speed = B - C = 24 - 12 = 12 km/h. Time = 162 / 12 = 13.5 hours.

Multiple choice

A boy is driving car at the speed of 42 km/hr. He stops for 8 minutes at end of every 11 km. What will be the time (in minutes) taken by him to cover a distance of 84 km?

  1. 138

  2. 142

  3. 156

  4. 176
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Time to travel 84 km at 42 km/hr is 84/42 = 2 hours (120 minutes). The boy stops at 11 km, 22 km, 33 km, 44 km, 55 km, 66 km, and 77 km. That is 7 stops of 8 minutes each, totaling 56 minutes. Total time = 120 + 56 = 176 minutes.

Multiple choice

A thief is spotted by a policeman from a distance of 350 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief to be 7 km/h and that of the policeman to be 12 km/h, how far would the thief have run before he is overtaken?

  1. 490 metres

  2. 392 metres

  3. 588 metres

  4. 294 metres
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = 12 - 7 = 5 km/h = 5 * 5/18 m/s = 25/18 m/s. Time to overtake = Distance / Relative speed = 350 / (25/18) = 350 * 18 / 25 = 14 * 18 = 252 seconds. Distance run by thief = Speed of thief * Time = 7 * (5/18) * 252 = 7 * 5 * 14 = 490 metres.

Multiple choice

Let from points P and Q, two car A and B starts travelling towards each other at a speed of 50 km/hr and 40 km/hr respectively. When both the car meets at a point, the first car A has covered the distance of 100 km more than the second car B. What is the total distance between P and Q?

  1. 500 km

  2. 630 km

  3. 660 km

  4. 900 km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let t be the time until they meet. Distance A = 50t, Distance B = 40t. 50t = 40t + 100 => 10t = 100 => t = 10 hours. Total distance = 50t + 40t = 90t = 900 km.