# Distance and Time Quiz Set 013

### Question 1

A traveler travelled partly by camel @5 km/h and partly by car @15 km/h. He travelled a total distance 220 km in 20 hours. How much distance did he cover with the camel?

A

40 km.

B

41 km.

C

39 km.

D

42 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (220 - x) km with the car. Total time is \$x/5 + {220 - x}/15 = 20.\$ Solving, we get x = 40 km.

### Question 2

An aircraft was on a 440 km journey. Its engine developed a snag so it had to slow down. It's average speed reduced by 4km/h, as a result of which it reached its destination late by 1 hour. What was the actual duration of the journey?

A

10 hrs.

B

11 hrs.

C

9 hrs.

D

12 hrs.

Soln.
Ans: a

Let x be the actual duration of the journey. Then, \$440/x - 440/{x + 1} = 4\$. Which gives 440 × \$1/{x (x + 1)} = 4\$. Solving for x, or by trying the options one by one, we get x = 10 hours.

### Question 3

Two trains start simultaneously. The first train moves from Mumbai to Baroda, whereas the second train moves from Baroda to Mumbai. After they meet at a point in between, they respectively take 16 hours and 4 hours to reach their destinations. What is the ratio of their speeds?

A

\${1/2}\$.

B

\${3/2}\$.

C

\${5/2}\$.

D

\${7/4}\$.

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 \$√4 : √16\$, which gives 2 : 4, or \${1/2}\$.

### Question 4

Speeds of A and B are in the ratio 5 : 8. What is the speed of A if B can cover a distance of 32 Km in 1 hour?

A

20 kmph.

B

21 kmph.

C

19 kmph.

D

22 kmph.

Soln.
Ans: a

The speed of B is 32/1 = 32 km/h. So, the speed of A = \${5 × 32}/8\$ = 20 km/h.

### Question 5

An object covers a distance of 1050 meters in 21 minutes. What is its speed?

A

3 kmph.

B

4 kmph.

C

2 kmph.

D

5 kmph.

Soln.
Ans: a

The speed = distance/time. It is \$1050/{21 × 60}\$ × \$18/5\$ = 3 kmph. 