# Distance and Time Quiz Set 017

### Question 1

Bus X travels 50% faster than bus Y. They start together and meet at the same time after travelling a distance of 36km. What is the speed of the bus X, if the bus Y wasted 6 hours during its journey?

A

2 kmph.

B

3 kmph.

C

5 kmph.

D

4 kmph.

Soln.
Ans: a

Let the speed of bus X be x, and of Y be 3x/2. The difference in the times taken by them is \$36/x - 36/({3x}/2)\$ = 6, which becomes 36 × \$1/{3x}\$ = 6. Solving, we get x = 2 km/h.

### Question 2

A boy goes to his school at an average speed of 3 km/h, and returns back at an average speed of 5 km/h. What is the average speed for the to and fro journey?

A

\$3{3/4}\$ km/h.

B

\$6{1/3}\$ km/h.

C

\$1{5/6}\$ km/h.

D

\$4{1/2}\$ km/h.

Soln.
Ans: a

If u and v are the to and fro speeds, then the standard formula is \${2uv}/{u + v}\$ = \${2 × 3 × 5}/{3 + 5}\$ = \${15/4}\$, which is same as: \$3{3/4}\$ km/h.

### Question 3

Speeds of A and B are in the ratio 3 : 1. What is the speed of A if B can cover a distance of 2 Km in 1 hour?

A

6 kmph.

B

7 kmph.

C

5 kmph.

D

8 kmph.

Soln.
Ans: a

The speed of B is 2/1 = 2 km/h. So, the speed of A = \${3 × 2}/1\$ = 6 km/h.

### Question 4

Speeds of A and B are in the ratio 3 : 1. What is the ratio of the times that they will take to cover a distance of 100 km?

A

1 : 3.

B

3 : 1.

C

1 : 100.

D

100 : 3.

Soln.
Ans: a

Let the speeds be 3x and 1x. The times they take to cover 100 km are \$100/{3x}\$ and \$100/{1x}\$. The ratio would be 1 : 3.

### Question 5

Two cars, A and B, start to move towards each other. If they meet when A has travelled \$(1/9)\$th of the distance, what is the ratio of the speed of B to the speed of A?

A

8.

B

9.

C

7.

D

10.

Soln.
Ans: a

Let the speeds of the cars be u and v and the initial distance between them be L. When they meet they have travelled for the same time. So \$(L/9)/u = ({8L}/9)/v\$. The ratio \$v/u\$ = 8.

This Blog Post/Article "Distance and Time Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-06

Posted by Parveen(Hoven),
Aptitude Trainer