# Distance and Time Quiz Set 002

### Question 1

A train takes 5 hours less if its speed is increased by 12 km/hr. What is the normal speed if the distance is 120km?

A

12.

B

13.

C

11.

D

14.

Soln.
Ans: a

Let the normal speed be x km/hr. We have been given \$120/x\$ - \$120/{x + 12}\$ = 5. This translates to the quadratic equation \$5x^2 + 60x - 1440 = 0\$, which can be solved to obtain x = 12 as the answer. If you don't want to solve the equation, then you can put each option into this equation and check that way. But this trick will work only if all the options have some numerical value.

### Question 2

A traveler travelled partly by camel @2 km/h and partly by car @12 km/h. He travelled a total distance 300 km in 30 hours. How much distance did he cover with the camel?

A

12 km.

B

13 km.

C

11 km.

D

14 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (300 - x) km with the car. Total time is \$x/2 + {300 - x}/12 = 30.\$ Solving, we get x = 12 km.

### Question 3

A city bus has an average speed of 19 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

\$6{6/19}\$ mins.

B

\$7{13/18}\$ mins.

C

\$4{17/21}\$ mins.

D

\$8{3/7}\$ mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 19 - 17 = 2 in one hour. The time taken for that distance would be the wastage due to stopping = \$2/19\$ × 60 = \$6{6/19}\$ mins.

### Question 4

Speeds of A and B are in the ratio 7 : 2. What is the speed of A if B can cover a distance of 6 Km in 1 hour?

A

21 kmph.

B

22 kmph.

C

20 kmph.

D

23 kmph.

Soln.
Ans: a

The speed of B is 6/1 = 6 km/h. So, the speed of A = \${7 × 6}/2\$ = 21 km/h.

### Question 5

A vehicle travels 50% of its distance at 2 km/h, and the remaining 50% at 8 km/h. What is the total distance, if it travelled for a total duration of 20 hours?

A

64 km.

B

65 km.

C

63 km.

D

66 km.

Soln.
Ans: a

Let 2x be the actual duration of the journey. Then, \$x/2 + x/8 = 20\$. Solving for x we get x = 32, and so, 2x = 64 km.