# Distance and Time Quiz Set 001

### Question 1

A school bus covers a certain distance in 5 hours at a speed of 12 km/h. At what speed should it travel to cover the same distance in 3 hours?

A

20 kmph.

B

21 kmph.

C

19 kmph.

D

22 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 = \${5 × 12}/3\$ = 20km/h.

### Question 2

A cyclist travels at a speed of 8km/h. Had he travelled at 16km/h he would have covered a distance of 64 km more. What is the total distance travelled by him?

A

64 km.

B

65 km.

C

63 km.

D

66 km.

Soln.
Ans: a

By the given problem, the time is same for both cases. If the total distance covered by him at 8km/h is x, then, \$x/8 = {x + 64}/16\$. Solving, we obtain x = 64 km.

### Question 3

Two trains start simultaneously. The first train moves from Jammu to Tawi, whereas the second train moves from Tawi to Jammu. After they meet at a point in between, they respectively take 4 hours and 9 hours to reach their destinations. What is the ratio of their speeds?

A

\${3/2}\$.

B

\${5/2}\$.

C

\${7/2}\$.

D

\${9/4}\$.

Soln.
Ans: a

If they take \$t_1 and t_2\$ hours respectively to reach their destinations, then the ratio of their speeds is \$√t_2 : √t_1\$. So we get \$√9 : √4\$, which gives 3 : 2, or \${3/2}\$.

### Question 4

A car is moving at a speed of 15 meters per second. What is the speed in Km/h?

A

54 kmph.

B

55 kmph.

C

53 kmph.

D

56 kmph.

Soln.
Ans: a

We know 1m/s = \$18/5\$ kmph. So 15m/s = \$18/5 × 15\$ = 54 kmph.

### Question 5

A car is moving at a speed of 15 meters per second. What is the speed in Km/h?

A

54 kmph.

B

55 kmph.

C

53 kmph.

D

56 kmph.

Soln.
Ans: a

We know 1m/s = \$18/5\$ kmph. So 15m/s = \$18/5 × 15\$ = 54 kmph. 