Distance and Time Quiz Set 006

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Question 1

Two steamers X and Y travel towards a destination 216 km away. If Y travels 6 times faster than X, then it reaches 9 hours early. What is the speed of X?

 A

20 kmph.

 B

21 kmph.

 C

19 kmph.

 D

22 kmph.

Soln.
Ans: a

Let x be the speed of X, then the speed of Y is 6x. So $216/x - 216/{6 × x} = 9.$ Solving, we get x = 20 km/h.


Question 2

An object covers a distance of 1200 meters in 12 minutes. What is its speed?

 A

6 kmph.

 B

7 kmph.

 C

5 kmph.

 D

8 kmph.

Soln.
Ans: a

The speed = distance/time. It is $1200/{12 × 60}$ × $18/5$ = 6 kmph.


Question 3

An object covers a distance of 1400 meters in 21 minutes. What is its speed?

 A

4 kmph.

 B

5 kmph.

 C

3 kmph.

 D

6 kmph.

Soln.
Ans: a

The speed = distance/time. It is $1400/{21 × 60}$ × $18/5$ = 4 kmph.


Question 4

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 5

A school bus covers a certain distance in 2 hours at a speed of 48 km/h. At what speed should it travel to cover the same distance in 6 hours?

 A

16 kmph.

 B

17 kmph.

 C

15 kmph.

 D

18 kmph.

Soln.
Ans: a

Let t1, v1 and t2, v2 be the speeds and times for covering the same distance. We have t1 × v1 = t2 × v2. From here we get v2 = ${2 × 48}/6$ = 16km/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 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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