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

Directions: Study the following information carefully and answer the question that follows. A man walking at the speed of 7 km/hr arrives at a certain place in 18 days. He takes rest for 8 hours per day during the journey. Now he has to take another journey which is thrice as long as the previous one. If he has to cover the distance in 35 days only with a speed of 8 km/hr, for how much time should he take rest every day during his journey?

  1. 12 hours

  2. 8 hours

  3. 4.2 hours

  4. 2.4 hours

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

Distance 1 = 7 km/hr * (18 days * 24 hours - 18 * 8 hours) = 7 * (432 - 144) = 7 * 288 = 2016 km. Distance 2 = 3 * 2016 = 6048 km. Total hours available = 35 * 24 = 840 hours. Walking time = 6048 / 8 = 756 hours. Rest time = 840 - 756 = 84 hours. Rest per day = 84 / 35 = 2.4 hours.

Multiple choice

A train covers a distance from station A to station B at a uniform speed of 60 km/hr and returns to station A at a uniform slower speed. If the average speed for the whole trip be 48 km/hr, then what is the return speed of the train?

  1. 46.8 km/hr

  2. 40 km/hr

  3. 54 km/hr

  4. 52 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed for a round trip is 2xy / (x + y), where x and y are the speeds. 48 = 2 * 60 * y / (60 + y). 48(60 + y) = 120y => 2880 + 48y = 120y => 72y = 2880 => y = 40.

Multiple choice

Sunita travelled the first half of the distance from her home to office at a speed of 40 km/hr. For exactly one-third of the remaining distance, she travelled at 20 km/hr and the distance left after that at 10 km/hr. Find her average speed for the whole journey.

  1. 15.17 km/hr

  2. 16.23 km/hr

  3. 18.46 km/hr

  4. 14.28 km/hr

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

Let total distance be 6D. First half (3D) at 40 km/hr: time = 3D/40. Remaining 3D: 1/3 of remaining is D at 20 km/hr, time = D/20. Left is 2D at 10 km/hr, time = 2D/10. Total time = 3D/40 + D/20 + 2D/10 = (3D + 2D + 8D) / 40 = 13D/40. Average speed = 6D / (13D/40) = 240/13 = 18.46 km/hr.

Multiple choice

A parachute passes over the head of a man who was walking at the speed of 1.5 km/hr in the same direction. The man could see the parachute for 8 minutes and it was visible to him up to a distance of 1.6 km. What is the speed of the parachute?

  1. 12 km/hr

  2. 12.5 km/hr

  3. 13 km/hr

  4. 13.5 km/hr

  5. 14 km/hr
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Relative speed = distance / time = 1.6 km / (8/60) hr = 1.6 * 7.5 = 12 km/hr. Since they are in the same direction, Parachute speed - Man speed = 12. Parachute speed = 12 + 1.5 = 13.5 km/hr.

Multiple choice

Mohit is travelling on his cycle and has calculated to reach point A by 2 p.m. if he travels at 10 km/hr. He will reach there by 12 noon, if he travels at 15 km/hr. At what speed must he travel to reach point A at 1 p.m.?

  1. 12 km/hr

  2. 10 km/hr

  3. 6 km/hr

  4. 15 km/hr

  5. 24 km/hr
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be D. Time at 10 km/hr = D/10. Time at 15 km/hr = D/15. Difference = D/10 - D/15 = 2 hours (12 noon to 2 p.m.). D/30 = 2, so D = 60 km. To reach at 1 p.m. (1 hour earlier than 2 p.m.), he needs to travel 60 km in (60/10 - 1) = 5 hours. Speed = 60/5 = 12 km/hr.

Multiple choice

I travel the first part of my journey at a speed of 40 kmph, the second part at a speed of 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long does the first part of my journey take?

  1. 6 hours

  2. 3.5 hours

  3. 4 hours

  4. 3 hours

  5. 2 hours
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let t be the time taken for the first part of the journey. The distance equation is 40*t + 60*(5 - t) = 240. Simplifying this gives -20*t + 300 = 240, which leads to 20*t = 60, or t = 3 hours.

Multiple choice

If a boat goes a certain distance at 30 km/h and comes back the same distance at 20 km/hr, what is the average speed (in km/hr) for the total journey?

  1. 25

  2. 24.5

  3. 24

  4. 25.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average speed is calculated as total distance divided by total time. If the distance is d, the time taken for the first leg is d/30 and the return leg is d/20. Total time is d/30 + d/20 = 5d/60 = d/12. Average speed = 2d / (d/12) = 24 km/hr.