Distance and Time Quiz Set 006

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Question 1

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.


Question 2

Two cars, A and B, start to move towards each other. If they meet when A has travelled $(1/5)$th of the distance, what is the ratio of the speed of B to the speed of A?

 A

4.

 B

5.

 C

3.

 D

6.

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 $(L/5)/u = ({4L}/5)/v$. The ratio $v/u$ = 4.


Question 3

Bus X travels 50% faster than bus Y. They start together and meet at the same time after travelling a distance of 30km. What is the speed of the bus X, if the bus Y wasted 5 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 $30/x - 30/({3x}/2)$ = 5, which becomes 30 × $1/{3x}$ = 5. Solving, we get x = 2 km/h.


Question 4

Two steamers X and Y travel towards a destination 192 km away. If Y travels 2 times faster than X, then it reaches 16 hours early. What is the speed of X?

 A

6 kmph.

 B

7 kmph.

 C

5 kmph.

 D

8 kmph.

Soln.
Ans: a

Let x be the speed of X, then the speed of Y is 2x. So $192/x - 192/{2 × x} = 16.$ Solving, we get x = 6 km/h.


Question 5

Speeds of A and B are in the ratio 7 : 2. What is the speed of A if B can cover a distance of 6 Km in 1 hour?

 A

21 kmph.

 B

22 kmph.

 C

20 kmph.

 D

23 kmph.

Soln.
Ans: a

The speed of B is 6/1 = 6 km/h. So, the speed of A = ${7 × 6}/2$ = 21 km/h.


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This Blog Post/Article "Distance and Time Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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