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

Two ports A and B are 90 km apart from each other. Ship 1 started from port A and ship 2 started from port B at the same time. If both of them proceed in the same direction, they will meet in 9 hours and if they proceed in opposite directions, they will meet in 9/7 hours. Calculate their respective speeds in km/hr. (Suppose speed of ship 1 is more than ship 2)

  1. 10 km/hr and 30 km/hr

  2. 40 km/hr and 30 km/hr

  3. 40 km/hr and 10 km/hr

  4. 90 km/hr and 70 km/hr

  5. 10 km/hr and 90 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let v1, v2 be speeds. Same direction: (v1-v2) = 90/9 = 10. Opposite direction: (v1+v2) = 90/(9/7) = 70. Adding equations: 2v1 = 80 => v1 = 40. v2 = 30.

Multiple choice

Sabu has a motorcycle. He starts traveling at a speed of 48 km/hr and covers 40 km. Again, he travels at an average speed of 40 km/hr to cover a distance of 48 km. Find the average speed of Sabu for the entire trip.

  1. 43.28 km/hr

  2. 44 km/hr

  3. 45.53 km/hr

  4. 42.38 km/hr

  5. 48.32 km/hr
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Average speed = Total Distance / Total Time. Total Distance = 40 + 48 = 88 km. Time 1 = 40/48 = 5/6 hours. Time 2 = 48/40 = 6/5 hours. Total Time = 5/6 + 6/5 = (25 + 36) / 30 = 61/30 hours. Average Speed = 88 / (61/30) = 2640 / 61 approx 43.278 km/hr.

Multiple choice

Ram, Shyam and Hari went out for a 100 km journey. Ram and Hari started the journey in Ram's car at the rate of 25 kmph, while Shyam walked at 5 kmph. After some time, Hari got off and started walking at the rate of 5 kmph and Ram went back to pick up Shyam. All three reached the destination simultaneously. The number of hours required for the trip was

  1. 8 hours

  2. 7 hours

  3. 6 hours

  4. 5 hours

  5. 4 hours
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let t be the total time. Ram travels 25t total distance. Shyam walks 5t. The logic of the trip implies they all arrive at the same time, and solving the relative motion equations gives 8 hours.

Multiple choice

In a logistics company, three delivery trucks: X, Y, and Z, are tasked with transporting goods over a specified route. Each truck operates for 8 hours per day. Truck X travels at a speed that is 2 times the speed of Truck Y. Truck Y, in turn, travels at a speed that is 1.5 times the speed of Truck Z, which travels at 40 km per hour. How far can Truck X travel in a full day?

  1. 320 km

  2. 480 km

  3. 960 km

  4. 1,600 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Truck Z speed = 40 km/h. Truck Y speed = 1.5 * 40 = 60 km/h. Truck X speed = 2 * 60 = 120 km/h. Distance = speed * time = 120 km/h * 8 hours = 960 km.

Multiple choice

Every morning, Priya rides her bicycle from her apartment in Oakwood to her office downtown. One day, she decides to double her usual speed. By doing so, she notices that she arrives at her office 45 minutes earlier than usual. If her usual speed is 6 km/h, what is the distance, in kilometres, between Priya's apartment and her office?

  1. 6

  2. 8

  3. 9

  4. 10

  5. 12
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let d be the distance and v be the speed (6 km/h). Time taken is d/6. Doubling speed to 12 km/h, time taken is d/12. The difference is 45 minutes (0.75 hours). So, d/6 - d/12 = 0.75, which simplifies to d/12 = 0.75, so d = 9 km.

Multiple choice

Lily and Emma decided to drive from their homes to a nearby beach for a weekend getaway. They both left at the same time, but due to different driving speeds, Emma arrived 15 minutes earlier than Lily. The ratio of driving speeds of Emma to Lily is 5 : 4, and the distance between their homes and the beach is 60 km. What is Lily's speed?

  1. 36 km/h

  2. 44 km/h

  3. 48 km/h

  4. 52 km/h

  5. 56 km/h
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let speeds be 5x and 4x. Time taken by Emma = 60 / 5x = 12/x. Time taken by Lily = 60 / 4x = 15/x. Difference = 15/x - 12/x = 3/x. Given difference is 15 minutes = 0.25 hours. 3/x = 0.25 => x = 12. Lily's speed = 4x = 4 * 12 = 48 km/h.

Multiple choice

Anil cycles to his school at a speed of 12 km/h and returns home via the same route at a speed of 7 km/h. If the total distance covered during the round trip is 42 km, how long does Anil take to complete the entire journey?

  1. 4 hours and 35 minutes

  2. 4 hours and 40 minutes

  3. 4 hours and 45 minutes

  4. 4 hours and 50 minutes

  5. 4 hours and 55 minutes
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance is 42 km, so one-way distance is 21 km. Time = (21/12) + (21/7) = 1.75 + 3 = 4.75 hours. 0.75 hours is 45 minutes, so 4 hours and 45 minutes.

Multiple choice

A cyclist started a ride at 8 a.m. and, travelling at a speed of 15 km/h, reached his destination point. The cyclist took a break for 30 minutes and then rode back to the starting point at a speed of 10 km/h. The cyclist reached the starting point at 12:15 p.m. What is the total distance covered by the cyclist?

  1. 25 km

  2. 40 km

  3. 45 km

  4. 50 km

  5. 60 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let D be the distance. Time taken to go = D/15. Time taken to return = D/10. Total time including 0.5 hour break is 4 hours and 15 minutes (4.25 hours). So, D/15 + D/10 + 0.5 = 4.25. Solving gives D/15 + D/10 = 3.75, which leads to (2D + 3D)/30 = 3.75, so 5D = 112.5, D = 22.5. Total distance covered is 2D = 45 km.

Multiple choice

Rayon is planning a weekend trip on a river. He rows his boat downstream from Point A to Point B, and then back upstream from Point B to Point A. The distance between Point A and Point B is 20 miles. The speed of the river's current is 2 miles per hour. Rayon can row his boat at a constant speed of 6 miles per hour in still water. Quantity A The total time Rayon takes for the round trip Quantity B 8 hours

  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
B Correct answer
Explanation

Downstream speed is 6+2=8 mph; time = 20/8 = 2.5 hours. Upstream speed is 6-2=4 mph; time = 20/4 = 5 hours. Total time = 2.5 + 5 = 7.5 hours. Since 7.5 < 8, Quantity B is greater.

Multiple choice

A pilot flies from New York to Chicago at an average speed of 450 miles per hour. On the return flight, the pilot encounters a tailwind, increasing the speed to 510 miles per hour. Assume the distance between the two cities is 765 miles. What is the total flight duration for the round trip?

  1. 2 hours and 54 minutes

  2. 3 hours and 12 minutes

  3. 4 hours and 20 minutes

  4. 4 hours and 48 minutes

  5. 5 hours and 36 minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Time = Distance / Speed. Time 1 = 765 / 450 = 1.7 hours. Time 2 = 765 / 510 = 1.5 hours. Total time = 1.7 + 1.5 = 3.2 hours. 0.2 hours = 12 minutes. Total = 3 hours and 12 minutes.

Multiple choice

John and Alex compete in a 500-meter race. John runs at a constant speed of 8 meters per second, while Alex runs at 10 meters per second. To make the race fair, Alex gives John a 50-meter head start. Who wins the race, and how much time does the winner take to finish the race?

  1. John, 60 seconds

  2. Alex, 60 seconds

  3. Alex, 55 seconds

  4. Alex, 50 seconds

  5. John, 55 seconds
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

John has a 50m head start, so he runs 450m. Time = 450/8 = 56.25 seconds. Alex runs 500m. Time = 500/10 = 50 seconds. Alex finishes in 50 seconds, which is faster than John's 56.25 seconds.