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 trains leave Toronto for Kitchener at the same time. The speeds of both the trains are in the ratio of 5 : 7. The first train starts from Toronto at 3 pm and reaches Kitchener at 6 pm, covering a distance of 156 km. What is the speed of the second train?

  1. 65.4 km/hr

  2. 72.8 km/hr

  3. 75.5 km/hr

  4. 78.9 km /hr

  5. 47 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First train: 156 km in 3 hours (3pm to 6pm) = 52 km/hr. Ratio of speeds = 5:7. If 5 units = 52, then 1 unit = 10.4. Second train = 7 units = 7 * 10.4 = 72.8 km/hr.

Multiple choice

Andrew and his best friend Sein attend the music class together at their college. Both of them finish the class at the same time. After the class, Andrew starts moving towards the football ground at a speed of 3 km per hour and Sein starts walking towards her dance class in the opposite direction at a speed of 4 km per hour. How long will it take for the classmates to be 1 km apart?

  1. 7 minutes

  2. 8 minutes

  3. 8.57 minutes

  4. 9 minutes

  5. 9.20 minutes
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = 3 + 4 = 7 km/h. Distance = 1 km. Time = Distance / Speed = 1/7 hours = 60/7 minutes = 8.5714 minutes.

Multiple choice

A dog is 100 m away from a man. Suddenly, the dog starts running towards him and the man starts running away from the dog. If the speeds of the dog and the man are 5 m/s and 3 m/s, respectively, then what will be the distance between them after 10 seconds?

  1. 70 m

  2. 75 m

  3. 80 m

  4. 85 m

  5. 90 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The man and dog are moving in the same direction. The relative speed is 5 - 3 = 2 m/s. In 10 seconds, the dog covers 50 m and the man covers 30 m. The initial distance is 100 m. The new distance = 100 - (50 - 30) = 100 - 20 = 80 m.

Multiple choice

Jagdish and Chetan, who live in the same town, are going separately to Amritsar. Jagdish takes the bus at 5:00 am in the morning and the bus travels at 50 kmph. Chetan takes the 7:00 am super fast bus, that travels at a speed of 70 kmph. At what time will Chetan's bus be 20 km ahead of Jagdish's bus?

  1. 12:10 pm

  2. 12:40 pm

  3. 1:00 pm

  4. 1:20 pm

  5. 2:00 pm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Jagdish distance at time t: 50(t-5). Chetan distance at time t: 70(t-7). We want 70(t-7) = 50(t-5) + 20. 70t - 490 = 50t - 250 + 20. 20t = 260. t = 13 (1:00 pm).

Multiple choice

Anita travels at a speed of 56 km/hr, but increases her speed every 3 hours by 2 km/hr. What will be the maximum distance covered by Anita in 30 hours?

  1. 2100 km

  2. 1950 km

  3. 1542 km

  4. 1430 km

  5. 1360 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed increases every 3 hours. 0-3h: 56km/h (dist=168). 3-6h: 58km/h (dist=174). 6-9h: 60km/h (dist=180). 9-12h: 62km/h (dist=186). 12-15h: 64km/h (dist=192). 15-18h: 66km/h (dist=198). 18-21h: 68km/h (dist=204). 21-24h: 70km/h (dist=210). 24-27h: 72km/h (dist=216). 27-30h: 74km/h (dist=222). Sum = 168+174+180+186+192+198+204+210+216+222 = 1950.

Multiple choice

Directions: In the following question, we have two quantities given. Compare these quantities and answer accordingly with the following given options. (a) Quantity I > Quantity II (b) Quantity I < Quantity II (c) Quantity I ≥ Quantity II (d) Quantity I ≤ Quantity II (e) Quantity I = Quantity II or No relation Quantity I: A person travels in a car at 50 km/hr and covers a certain distance in 6 hours. The time in which he take to cover the same distance, if he increases his speed by 10 km/hr. Quantity II: 4 hours

  1. a

  2. b

  3. c

  4. d

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

Distance = 50 * 6 = 300 km. New speed = 60 km/hr. Time = 300 / 60 = 5 hours. Quantity I = 5 hours, Quantity II = 4 hours. Thus, Quantity I > Quantity II.

Multiple choice

Directions: In the following question, we have two quantities given. Compare these quantities and answer accordingly with the following given options. Quantity I: Kiran goes to his friend's house by car at a speed of 40 km/hr and reaches 10 minutes early. If he goes at a speed of 30 km/hr, he reaches 12 minutes late. The distance to his friend's house. Quantity II: 50 km

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time at 40 km/hr = D/40. Time at 30 km/hr = D/30. Difference in time = 12 min late - (-10 min early) = 22 minutes = 22/60 hours. D/30 - D/40 = 22/60. (4D - 3D)/120 = 22/60. D = 120 * (22/60) = 44 km. Since 44 < 50, Quantity I < Quantity II.

Multiple choice

Directions: In the following question, two quantities are given. Compare these quantities and choose the correct option accordingly. Quantity I: A car starts from A and another from B at the same time. A and B are 70 km apart. If they move in same direction, they meet in 7 hours and if they move in opposite directions, they meet in 2 hours. The sum of the speeds of the cars Quantity II: 25 km/hr

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let speeds be u and v. (u-v) = 70/7 = 10. (u+v) = 70/2 = 35. Quantity I (sum of speeds) = 35. Quantity II = 25. Since 35 > 25, Quantity I > Quantity II.

Multiple choice

Rajan swims in a 60-m wide pool and covers a distance of 120 m in 1 minute from one end to the other and back along a straight path. Find his average speed and average velocity, respectively.

  1. 0 ms-1, 2 ms-1

  2. 2 ms-1, 0 ms-1

  3. 0 ms-1, 0 ms-1

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance = 120 m. Total time = 60 s. Average speed = 120 / 60 = 2 m/s. Displacement = 0 (since he returns to the start). Average velocity = 0 / 60 = 0 m/s.

Multiple choice

The distance between two points A and B is 110 km. A motorcyclist P starts from A towards B at 7 am at a speed of 20 km/hr. Another motorcyclist Q starts from B towards A at 8 am at a speed of 25 km/hr. At what time will they meet each other?

  1. 9 am

  2. 11 am

  3. 10 am

  4. 12 am
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

P travels for 1 hour alone (20 km). Remaining distance is 90 km. Relative speed is 20 + 25 = 45 km/hr. Time to meet = 90 / 45 = 2 hours after 8 am, which is 10 am.