# Distance and Time Quiz Set 011

### 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.

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