# Distance and Time Quiz Set 004

### Question 1

A traveler travelled partly by camel @4 km/h and partly by car @14 km/h. He travelled a total distance 260 km in 20 hours. How much distance did he cover with the camel?

A

8 km.

B

9 km.

C

7 km.

D

10 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/4 + {260 - x}/14 = 20.\$ Solving, we get x = 8 km.

### Question 2

A train passes two persons walking in the same direction as the train. The time it takes to move past the man running at 37km/h is 17sec, whereas the time it takes to cross the other man running at 44km/h is 18sec. What is the speed of the train?

A

163km/h.

B

164km/h.

C

162km/h.

D

165km/h.

Soln.
Ans: a

Let the speed of the train be v km/h. Length of the train calculated with the data for the first man = \$(v - 37) × 17\$. It should equal the length obtained from the data for the second man. So \$(v - 37) × 17\$ = \$(v - 44) × 18\$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 163km/h.

### Question 3

A traveler travelled partly by camel @3 km/h and partly by car @13 km/h. He travelled a total distance 200 km in 20 hours. How much distance did he cover with the camel?

A

18 km.

B

19 km.

C

17 km.

D

20 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (200 - x) km with the car. Total time is \$x/3 + {200 - x}/13 = 20.\$ Solving, we get x = 18 km.

### Question 4

A city bus has an average speed of 25 km/h if it doesn't stop anywhere. But if it stops in-between the average speed drops to 17 km/h. How many minutes does it stop in 1 hour?

A

\$19{1/5}\$ mins.

B

\$25{1/4}\$ mins.

C

13 mins.

D

\$15{6/7}\$ mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 25 - 17 = 8 in one hour. The time taken for that distance would be the wastage due to stopping = \$8/25\$ × 60 = \$19{1/5}\$ mins.

### Question 5

Two cars A and B begin to move towards each other and meet midway after travelling equal distance. What is the initial distance between them if the speeds of A and B are 4 km/h and 8 km/h, and B started 1 hour late?

A

16 km.

B

17 km.

C

15 km.

D

\$6{1/3}\$ km.

Soln.
Ans: a

If the distance between them is L, they meet after travelling L/2. Equating the times they travelled, \$L/{2 × 4} = L/{2 × 8} + 1\$. Solving for L we get L = 16 km. 