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

A train leaves city X for city Y, a distance of 1600 km. At the same time, a train leaves city Y for city X. The trains meet at city Z which is at a distance of 700 km from city Y. What is the ratio of the speeds of the trains?

  1. 17 : 9

  2. 16 : 7

  3. 9 : 16

  4. 9 : 7

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

The trains travel for the same amount of time. Train 1 travels 900 km (1600 - 700) while Train 2 travels 700 km. Since speed equals distance divided by time, the ratio of their speeds is the same as the ratio of their distances, which is 900:700 or 9:7.

Multiple choice

Two cars A and B are running towards each other from two different places which are 88 km apart. If the ratio of the speeds of the cars is 5 : 6 and the speed of the car B is 90 kmph, after how much time will they meet each other?

  1. 262/3 minutes

  2. 32 minutes

  3. 25 minutes

  4. 26 minutes

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

Ratio of speeds A:B = 5:6. Speed of B = 90 kmph. Speed of A = (5/6) * 90 = 75 kmph. Relative speed = 75 + 90 = 165 kmph. Time = Distance / Relative speed = 88 / 165 hours = 8/15 hours. 8/15 * 60 = 32 minutes.

Multiple choice

Two trains start at the same time from stations A and D and proceed towards each other at speeds 36 kmph and 42 kmph, respectively. When they meet, it is found that one train has travelled 48 km more than the other. The distance (in km) between the two stations is

  1. 624

  2. 636

  3. 544

  4. 560
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let time be t. Distance1 = 36t, Distance2 = 42t. Difference = 6t = 48 km, so t = 8 hours. Total distance = (36+42) * 8 = 78 * 8 = 624 km.