# Distance and Time Quiz Set 016

### Question 1

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 2

Bus X travels 50% faster than bus Y. They start together and meet at the same time after travelling a distance of 24km. What is the speed of the bus X, if the bus Y wasted 2 hours during its journey?

A

4 kmph.

B

5 kmph.

C

3 kmph.

D

6 kmph.

Soln.
Ans: a

Let the speed of bus X be x, and of Y be 3x/2. The difference in the times taken by them is \$24/x - 24/({3x}/2)\$ = 2, which becomes 24 × \$1/{3x}\$ = 2. Solving, we get x = 4 km/h.

### Question 3

A city bus has an average speed of 20 km/h if it doesn't stop anywhere. But if it stops in-between the average speed drops to 15 km/h. How many minutes does it stop in 1 hour?

A

15 mins.

B

16 mins.

C

14 mins.

D

6 mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 20 - 15 = 5 in one hour. The time taken for that distance would be the wastage due to stopping = \$5/20\$ × 60 = 15 mins.

### Question 4

A school bus covers a certain distance in 4 hours at a speed of 56 km/h. At what speed should it travel to cover the same distance in 7 hours?

A

32 kmph.

B

33 kmph.

C

31 kmph.

D

34 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 = \${4 × 56}/7\$ = 32km/h.

### Question 5

Two trains start simultaneously. The first train moves from Jallandhar to Amritsar, whereas the second train moves from Amritsar to Jallandhar. After they meet at a point in between, they respectively take 100 hours and 36 hours to reach their destinations. What is the ratio of their speeds?

A

\${3/5}\$.

B

2.

C

\${13/7}\$.

D

\${18/7}\$.

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 \$√36 : √100\$, which gives 6 : 10, or \${3/5}\$. 