# Distance and Time Quiz Set 006

### 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.