# Distance and Time Quiz Set 003

### Question 1

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 2

A city bus has an average speed of 17 km/h if it doesn't stop anywhere. But if it stops in-between the average speed drops to 14 km/h. How many minutes does it stop in 1 hour?

A

\$10{10/17}\$ mins.

B

\$12{5/16}\$ mins.

C

\$8{11/19}\$ mins.

D

\$12{3/19}\$ mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 17 - 14 = 3 in one hour. The time taken for that distance would be the wastage due to stopping = \$3/17\$ × 60 = \$10{10/17}\$ mins.

### Question 3

An object covers a distance of 2800 meters in 21 minutes. What is its speed?

A

8 kmph.

B

9 kmph.

C

7 kmph.

D

10 kmph.

Soln.
Ans: a

The speed = distance/time. It is \$2800/{21 × 60}\$ × \$18/5\$ = 8 kmph.

### Question 4

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 5

A boy walks along the three edges of an equilateral triangle at average speeds of 5 km/h, 8 km/h and 3 km/h. What is the average speed along the whole journey?

A

\$4{44/79}\$ kmph.

B

\$5{49/78}\$ kmph.

C

\$3{38/81}\$ kmph.

D

\$7{10/27}\$ kmph.

Soln.
Ans: a

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = \$L/5 + L/8 + L/3\$. So overall average speed = \${3L}/{L/5 + L/8 + L/3}\$ which simplifies to \${360/79}\$, which is same as: \$4{44/79}\$ km/h.