This set of Aptitude Questions and Answers (MCQs) focuses on “Time and Distance”. These questions are beneficial for various competitive exams, placement interviews, and entrance tests.

1. A man travelled first half of his journey at a speed of 60 kmph and the second half of his journey at a speed of 40 kmph. Find the average speed of the man.

a) 55 kmph

b) 57.5 kmph

c) 50 kmph

d) 52.5 kmph

View Answer

Explanation: The average speed of the man = the average of both the speeds (here it is the average of both the speeds because the distance travelled with respective speeds is equal).

The average speed = 60 + 40 / 2 = 100 / 2 = 50 kmph

2. A man travelled 30% of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. Find his average speed throughout the journey.

a) 42.6 kmph

b) 44.6 kmph

c) 46.6 kmph

d) 48.6 kmph

View Answer

Explanation: The average speed of the man = [(30 * 85) + (70 * 33)] / 100 = (2550 + 2310) / 100 = 4860 / 100 = 48.6 kmph

3. If a man travelled at 3 / 4^{th} of his usual speed the time taken by him to cover the usual distance is what percentage of the usual time taken?

a) 116.6%

b) 133.3%

c) 166.6%

d) 200%

View Answer

Explanation: Here the distance travelled is same as the usual distance so the time taken will be reciprocal of the speed.

The time taken = 1 / (3 / 4

^{th}) = 4 / 3

^{rd}of the usual time = 4 / 3 * 100 = 133.3 % of the usual time taken.

4. Travelling at 1 / 6^{th} of his usual speed a man is late by 30 minutes. What is the usual time taken by him to cover the same distance?

a) 5 minutes

b) 5.25 minutes

c) 5.50 minutes

d) 6 minutes

View Answer

Explanation: Let the distance be d and the usual distance be 6x.

d / x – d / 6x = 30 / 60

(6d – d) / 6x = 30 / 60

5d / 6x = 30 / 60

300d = 180x

Usual speed = d / 6x

D = 180x / 300

Usual speed = 180x / (300 * 6x) hours

Usual speed = 1 / 10 hours = 60 / 10 minutes = 6 minutes

5. The ratio of speeds of p : q : r is 5 : 4 : 3. Find the ratio of time taken by p, q and r to cover j km.

a) 5 : 4 : 3

b) 4 : 3 : 2

c) 12 : 15 : 20

d) 20 : 15 : 12

View Answer

Explanation: The distance covered = j

Let the speeds be in terms of x.

The speeds = 5x, 4x and 3x

The time taken = j / 5x, j / 4x and j / 3x

Let j be 60

The time taken = 12 / x, 15 / x and 20 / x

The ratio of time taken = 12 / x : 15 / x : 20 / x = 12 : 15 : 20

6. A man travels 15 km at a speed of 30 kmph, 50 km at a speed of 20 kmph and 30 km at a speed of 120 kmph. Find the time taken throughout the journey.

a) 2 hours

b) 2.5 hours

c) 3 hours

d) 3.25 hours

View Answer

Explanation: The time taken = 15 / 30 + 50 / 20 + 30 / 120 = 0.5 + 2.5 + 0.25 = 3.25 hours

7. A man travels 30 km at a speed of 20 kmph 55 km at a speed of 110 kmph and 590 km at a speed of 118 kmph. Find the time taken throughout the journey.

a) 6 hours

b) 6.5 hours

c) 7 hours

d) 7.5 hours

View Answer

Explanation: The time taken throughout the journey = 30 / 20 + 55 / 110 + 590 / 118 = 1.5 + 0.5 + 5 = 7 hours

8. The ratio of speeds of p : q : r is 8 : 7 : 6. Find the ratio of their time taken.

a) 21 : 24 : 28

b) 28 : 24 : 21

c) 12 : 14 : 18

d) 18 : 14 : 12

View Answer

Explanation: Let the distance be 336 km.

Let the speeds be in terms of x.

The time taken by p, q and r = 336 / 8x, 336 / 7x and 336 / 6x = 42 / x, 48 / x and 56 / x

The ratio of time taken by p, q and r = 42 / x : 48 / x : 56 / x = 42 : 48 : 56 = 21 : 24 : 28

9. If a man travels at 7 / 11^{th} of his usual speed the time taken by him is what percentage of the usual time taken to cover the same distance?

a) 157%

b) 145%

c) 138%

d) 135%

View Answer

Explanation: The fraction of time taken is reciprocal of the fraction of speed.

The time taken = 11 / 7

^{th}of the usual time taken = 11 / 7 * 100% of the usual time taken = 157.142% ≈ 157%

10. A man travels at a speed of 75 kmph for 75% of his journey and at a speed of 90 kmph for the rest of his journey. Find his average speed throughout the journey.

a) 60 kmph

b) 65.50 kmph

c) 72.25 kmph

d) 78.75 kmph

View Answer

Explanation: The average speed of the man = (75 * 75 + 25 * 90) / 100 = (5625 + 2250) / 100 = 7875 / 100 = 78.75 kmph

11. A man travels at a speed of 47 kmph for 5.7 hours and 65 kmph for 5.5 hours. Find his average speed.

a) 52 kmph

b) 56 kmph

c) 64 kmph

d) 72 kmph

View Answer

Explanation: The total distance covered = 47 * 5.7 + 65 * 5.5 = 267.9 + 357.5 = 625.4 km

The total time taken = 11.2 hours

The average time taken = 625.4 / 11.2 = 55.83 kmph ≈ 56 kmph

**More Aptitude Questions and Answers on Time and Distance:**

- Time and Distance Questions (Set 2)
- Time and Distance Questions (Set 3)
- Time and Distance Questions (Set 4)

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.