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

An express train travelled at an average speed of $100$ km/hr, stopping for $3$ minutes after every $75$ km. How long did it take to reach its destination $600$ km from the starting point?
  1. $6$ hrs $21$ min
  2. $6$ hrs $24$ min
  3. $6$ hrs $27$ min
  4. $6$ hrs $30$ min
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Travel time = 600 / 100 = 6 hours. Stops occur at 75, 150, 225, 300, 375, 450, 525 km. That is 7 stops. 7 * 3 minutes = 21 minutes. Total time = 6 hours 21 minutes.

Multiple choice

Places $A$ and $B$ are $100 km$ apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction, they meet in $10$ hours and if they move in opposite directions they meet in $1$ hour $40$ minutes. Find the speed of the cars from places A and B, respectively.
  1. $45 km/hr, 25 km/hr$
  2. $65 km/hr, 75 km/hr$
  3. $35 km/hr, 25 km/hr$
  4. $60 km/hr, 45 km/hr$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let speeds be u and v. Same direction: 100/(u-v) = 10 => u-v = 10. Opposite direction: 100/(u+v) = 5/3 => u+v = 60. Adding equations: 2u = 70 => u = 35. Then v = 25.

Multiple choice

A man rows a boat upstream a certain distance and then returns back to the same place. If the time taken by him in going upstream is twice the time taken in rowing downstream, find the ratio of the speed of the boat in still water and the speed of the stream.

  1. 2 : 1

  2. 3 : 2

  3. 5 : 3

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

Let boat speed be b and stream speed be s. Upstream speed = b-s, downstream speed = b+s. Time = Distance / Speed. Given t_up = 2 * t_down, so d/(b-s) = 2 * d/(b+s). b+s = 2b - 2s. b = 3s. Ratio b:s = 3:1.

Multiple choice

Zishaan left office and drove straight to the airport at an average speed of $45$ miles per hour. He returned office along the same route, but traffic slowed him down and he only averaged $30$ miles per hour. If his total travel time was $2$ hours and $30$ minutes, how far is it (in miles) from Zishaan's office to the airport?

  1. 45

  2. 25

  3. 46

  4. 50
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be d. Time = d/45 + d/30 = 2.5 hours. (2d + 3d) / 90 = 2.5, so 5d = 225, d = 45.

Multiple choice

What is the speed of the boat in still water? I. The boat covers a distance of 48 kms in 6 hours while running upstream. II. The boat covers the same distance in 4 hours while running downstream.

  1. I alone sufficient while II alone not sufficient to answer

  2. II alone sufficient while I alone not sufficient to answer

  3. Either I or II alone sufficient to answer

  4. Both I and II are not sufficient to answer

  5. Both I and II are necessary to answer
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let boat speed be b and current speed be c. Upstream: b - c = 48/6 = 8. Downstream: b + c = 48/4 = 12. Adding the equations gives 2b = 20, so b = 10. Both statements are required to find both variables.

Multiple choice

An express train travels at an average speed of $120$ km per hour, stopping for $4$ minutes after every $80$ kms. How long will it take the train to reach a destination $960$ km away?
  1. $8$ hrs $40$ minutes
  2. $8$ hrs $44$ minutes
  3. $8$ hrs $48$ minutes
  4. $8$ hrs $56$ minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Travel time = 960 / 120 = 8 hours. The train stops every 80 km. Number of stops = (960 / 80) - 1 = 11 stops. Total delay = 11 * 4 minutes = 44 minutes. Total time = 8 hours 44 minutes.