Distance and Time Quiz Set 011

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Question 1

Two steamers X and Y travel towards a destination 510 km away. If Y travels 6 times faster than X, then it reaches 5 hours early. What is the speed of X?

 A

85 kmph.

 B

86 kmph.

 C

84 kmph.

 D

87 kmph.

Soln.
Ans: a

Let x be the speed of X, then the speed of Y is 6x. So $510/x - 510/{6 × x} = 5.$ Solving, we get x = 85 km/h.


Question 2

A car is moving at a speed of 90 kmph. What is the speed in m/s?

 A

25 m/s.

 B

26 m/s.

 C

24 m/s.

 D

27 m/s.

Soln.
Ans: a

We know 1kmph = $5/18$ m/s. So 90kmph = $5/18 × 90$ = 25 m/s.


Question 3

A traveler travelled partly by camel @5 km/h and partly by car @15 km/h. He travelled a total distance 260 km in 20 hours. How much distance did he cover with the camel?

 A

20 km.

 B

21 km.

 C

19 km.

 D

22 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (260 - x) km with the car. Total time is $x/5 + {260 - x}/15 = 20.$ Solving, we get x = 20 km.


Question 4

Two cars, A and B, start to move towards each other. If they meet when A has travelled $(1/4)$th of the distance, what is the ratio of the speed of B to the speed of A?

 A

3.

 B

4.

 C

2.

 D

5.

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 $(L/4)/u = ({3L}/4)/v$. The ratio $v/u$ = 3.


Question 5

Speeds of A and B are in the ratio 12 : 17. What is the speed of A if B can cover a distance of 34 Km in 1 hour?

 A

24 kmph.

 B

25 kmph.

 C

23 kmph.

 D

26 kmph.

Soln.
Ans: a

The speed of B is 34/1 = 34 km/h. So, the speed of A = ${12 × 34}/17$ = 24 km/h.


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This Blog Post/Article "Distance and Time Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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