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

The ratio between the speed of a train and a car is 8 : 3. Also, a bus covers a distance of 480 km in 12 hours. The speed of the bus is five-seventh the speed of the train. How much distance will the car cover in 5 hours?

  1. 125 km

  2. 84 km

  3. 105 km

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

Bus speed = 480/12 = 40 km/h. Train speed = 40 * (7/5) = 56 km/h. Car speed = 56 * (3/8) = 21 km/h. Distance covered by car in 5 hours = 21 * 5 = 105 km.

Multiple choice

The distance between two stations A and B is 900 km. A train starts from A and moves towards B at an average speed of 30 km/hr. Another train starts from B, 20 minutes earlier than the train at A, and moves towards A at an average speed of 40 km/hr. How far from A will the two trains meet ?

  1. 380km

  2. 320km

  3. 240km

  4. 330km

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

Let t be the time in hours the train from A travels. The train from B travels for t + 1/3 hours (20 minutes = 1/3 hour). Distance = 30t + 40(t + 1/3) = 900. Solving gives 70t + 40/3 = 900, so 70t = 2660/3, t = 38/3 hours. Distance from A = 30 * (38/3) = 380 km.

Multiple choice

Friends A and B simultaneously start from P and are moving towards Q, which is 120 km from P. Their speeds are 40 kmph and 60 kmph, respectively. After reaching Q, they immediately return back to P. At what distance from P will A cross B, who is coming from Q to P?

  1. 80 km

  2. 86 km

  3. 96 km

  4. 98 km

  5. 100 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance = 120 km. A's speed = 40, B's speed = 60. B reaches Q (120 km) in 2 hours. A is at 80 km. B turns back. Relative speed = 40 + 60 = 100 kmph. Distance between them = 120 - 80 = 40 km. Time to meet = 40 / 100 = 0.4 hours. Distance from Q where they meet = 60 * 0.4 = 24 km. Distance from P = 120 - 24 = 96 km.

Multiple choice

A man takes half time in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current?

  1. 1 : 2

  2. 2 : 1

  3. 1 : 3

  4. 3 : 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let speed in still water be x and speed of current be y. Downstream speed = x+y, upstream speed = x-y. Time = Distance/Speed. Given 1/(x+y) = 1/2 * 1/(x-y), so 2(x-y) = x+y. 2x - 2y = x + y, which simplifies to x = 3y. The ratio x:y is 3:1.

Multiple choice

The total distance covered by a car is 200 m. It covers the first half of the distance at a speed of 40 kmhr-1 and the second half of distance at speed v. If its average speed is 48 kmhr-1, the value of v is: [NTSE - Stage - 1, 2017-18, Tamil Nadu]

  1. 52 kmhr-1

  2. 60 kmhr-1

  3. 48 kmhr-1

  4. 65 kmhr-1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed = 2 * v1 * v2 / (v1 + v2). 48 = 2 * 40 * v / (40 + v). 48 = 80v / (40 + v). 48(40 + v) = 80v. 1920 + 48v = 80v. 32v = 1920. v = 60.