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

Distance between two points A and B is 110 km. Manoj starts running from A at a speed of 60 km/hr and Ravi starts running from B at a speed of 40 km/hr at same time. They meet at a point X, somewhere on the line AB. What is ratio of AX to BX?

  1. 3 : 2

  2. 2 : 3

  3. 2 : 1

  4. 1 : 2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Since they start at the same time and meet at point X, the time taken by both is the same. The ratio of distances covered is equal to the ratio of their speeds: 60/40 = 3/2.

Multiple choice

A car travels one-third of the distance on a straight road with a velocity of 10 km/hr, the next one-third with a velocity of 20 km/hr and the last one-third with a velocity of 60 km/hr. What is the average velocity of the car for the whole journey?

  1. 10 km/hr

  2. 18 km/hr

  3. 29 km/hr

  4. 33 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average velocity = Total distance / Total time. Let distance be 3d. Time = d/10 + d/20 + d/60 = (6d+3d+d)/60 = 10d/60 = d/6. Average velocity = 3d / (d/6) = 18 km/hr.

Multiple choice

Two cars start moving towards each other at the same time from towns A and B, which are 480 km apart. It takes the first car travelling from A to B 8 hours to cover the distance and the second car travelling from B to A 12 hours. Determine how long after starting do the cars meet, assuming that both the cars travel at constant speed.

  1. 3.2 hours

  2. 4.8 hours

  3. 4.0 hours

  4. 5.2 hours
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed of car 1 = 480/8 = 60 km/h. Speed of car 2 = 480/12 = 40 km/h. Relative speed = 60 + 40 = 100 km/h. Time to meet = Distance / Relative speed = 480 / 100 = 4.8 hours.

Multiple choice

A man can walk at a speed of 8 mph. But he walks for only 45 minutes in every one-hour period. Quantity A The distance he can travel in five hours Quantity B 30 miles

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The man walks 45 minutes per hour at 8 mph. In 5 hours, he walks 45*5 = 225 minutes, which is 3.75 hours. Distance = 8 * 3.75 = 30 miles. Quantity A (30) equals Quantity B (30).

Multiple choice

Rahul steals a car at 2:30 p.m. from a police station and drives down a straight stretch of road at a speed of 30 km/hr. At 3:00 p.m, the police starts following him with a speed of 40 km/hr. At what time will the police catch Rahul?

  1. 3:45 p.m.

  2. 3:30 p.m.

  3. 4:30 p.m.

  4. 4:00 p.m.

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

Rahul's lead at 3:00 pm = 30 km/hr * 0.5 hr = 15 km. Relative speed = 40 - 30 = 10 km/hr. Time to catch = 15 / 10 = 1.5 hours. 3:00 pm + 1.5 hours = 4:30 pm.

Multiple choice

A car takes 12 hours to travel a certain distance. A bus takes 8 hours moving at a speed 8 km/hr more than the speed of the car to travel the same distance. The distance is

  1. 192 km

  2. 190 km

  3. 182 km

  4. 180 km

  5. 178 km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be D and car speed be v. Then D = 12v. The bus speed is v + 8, and it takes 8 hours, so D = 8(v + 8). Equating the two, 12v = 8v + 64, which gives 4v = 64, so v = 16 km/hr. The distance is 12 * 16 = 192 km.

Multiple choice

Terry plans a vacation with his friends to travel form Mumbai to Goa. They travel the distance at a speed of 120 km/hr. They decide to come back on a busy weekend due to which they are able to travel at a speed of 90 km/hr. The entire journey took them 7 hours 35 minutes, travelling both ways. How many kilometres they travelled one way?

  1. 390 km

  2. 400 km

  3. 415 km

  4. 545 km

  5. 600 km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be d. Time = d/120 + d/90 = 7 hours 35 minutes = 7 + 35/60 = 7 + 7/12 = 91/12 hours. (3d + 4d) / 360 = 91/12. 7d / 360 = 91/12. d = (91 * 360) / (12 * 7) = 13 * 30 = 390 km.