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

Emma, a photographer, was on her way to City Q, 420 miles from her home. She drove the first half of the journey at 60 miles per hour (mph), stopped for a 30-minute break, and then reduced her speed to 50 mph for the second half. What time did she complete her journey if she left at 8:00 AM?

  1. 3:30 PM

  2. 3:32 PM

  3. 4:12 PM

  4. 4:22 PM

  5. 4:32 PM
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The first 210 miles at 60 mph takes 3.5 hours. The 30-minute break adds 0.5 hours. The remaining 210 miles at 50 mph takes 4.2 hours (4 hours and 12 minutes). Total time is 3.5 + 0.5 + 4.2 = 8.2 hours, which is 8 hours and 12 minutes after 8:00 AM, resulting in 4:12 PM.

Multiple choice

During a track race, Jack ran 800 meters in 2 minutes. His friend, Tom, ran the same distance in 1.5 minutes. If they were to run a 1,600-meter race at the same speeds, by how many minutes would Tom finish ahead of Jack?

  1. 30 seconds

  2. 1 minute

  3. 1.5 minutes

  4. 2 minutes

  5. 2.5 minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Jack's speed = 800m / 2min = 400m/min. Tom's speed = 800m / 1.5min = 533.33m/min. For 1600m, Jack takes 1600/400 = 4 min. Tom takes 1600/533.33 = 3 min. Difference = 1 minute.

Multiple choice

During a charity cycling event, Aisha rode a total distance of 18 kilometers (km). For the first two-thirds of the journey, she cycled at a speed of 12 km/hour. For the remaining distance, she slowed down to 8 km/hour due to strong headwinds. Approximately how many minutes did she take to complete the entire ride?

  1. 90

  2. 95

  3. 105

  4. 110

  5. 115
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First 2/3 of 18 km = 12 km at 12 km/h = 1 hour (60 mins). Remaining 6 km at 8 km/h = 6/8 hours = 0.75 hours (45 mins). Total time = 60 + 45 = 105 minutes.

Multiple choice

A cyclist travels at a speed of 12 km/hr and took a rest of 3.5 mins after every 1 km. How much time will he take in minutes if he needs to cover 10 km ?

  1. 81.5 mins

  2. 85 mins

  3. 76.5 mins

  4. 80 mins

  5. 72.5 mins
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Travel time for 10 km at 12 km/hr is (10/12)*60 = 50 minutes. He rests 3.5 minutes after every 1 km, so he rests 9 times (at 1, 2, ..., 9 km). Total rest time = 9 * 3.5 = 31.5 minutes. Total time = 50 + 31.5 = 81.5 minutes.

Multiple choice

On a 2200 m long circular track, Sarita and Kavita started cycling from the same point but in opposite directions with speeds of 20 km/hr and 16 km/hr, respectively. After how much time will they meet again for the first time?

  1. 3 minutes 40 seconds

  2. 3 minutes 20 seconds

  3. 2 minutes 50 seconds

  4. 2 minutes 20 seconds
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = 20 + 16 = 36 km/hr = 10 m/s. Time = Distance / Relative Speed = 2200 m / 10 m/s = 220 seconds. 220 seconds = 3 minutes 40 seconds.

Multiple choice

On a 360 km cycling route, three riders — P, Q, and R — start together. Initially, their speeds are 60 km/hr for Rider P, 50 km/hr for Rider Q, and 80 km/hr for Rider R. After the first 2 hours of riding, their speeds change as follows: Rider R reduces his speed to 80% of Rider P's original speed. Rider P adopts a new speed that is 25% higher than Rider R's speed at that moment. Rider Q increases his speed by 20% compared to his original speed. Find the time gap (in minutes) between the riders who finish first and second.

  1. 8 minutes

  2. 10 minutes

  3. 12 minutes

  4. 15 minutes

  5. 20 minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Sohan is driving at a speed of 60 km/h along a highway. Mohan is 96 meters behind Sohan and also driving in the same direction as Sohan. At the same time, Rohan is driving towards them from the opposite direction at a speed of 40 km/h and is 500 meters away from Sohan. At what speed, in km/h, should Mohan drive so that all three vehicles cross each other at the same time?

  1. 59.7 km/hr

  2. 95.7 km/hr

  3. 79.2 km/hr

  4. 97.5 km/hr

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

Let t be the time to cross. Sohan is at 60t. Mohan is at -0.096 + vt. Rohan is at 0.5 - 40t. For all to cross at the same point: 60t = -0.096 + vt = 0.5 - 40t. From 60t = 0.5 - 40t, 100t = 0.5, t = 0.005 hours. Substitute t into 60t = -0.096 + v(0.005): 0.3 = -0.096 + 0.005v, 0.396 = 0.005v, v = 79.2 km/h.

Multiple choice

A courier vehicle travels three equal distance segments at uniform speeds of 20 km/h, 30 km/h, and 60 km/h respectively. What is the average speed of the vehicle for the entirety of its journey?

  1. 30 km/h

  2. 35 km/h

  3. 40 km/h

  4. 45 km/h

  5. None
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Average speed = Total distance / Total time. Let each segment be d. Total distance = 3d. Total time = d/20 + d/30 + d/60 = (3d + 2d + d) / 60 = 6d/60 = d/10. Average speed = 3d / (d/10) = 30 km/h.