# Distance and Time Quiz Set 019

### Question 1

A car is moving at a speed of 40 meters per second. What is the speed in Km/h?

A

144 kmph.

B

145 kmph.

C

143 kmph.

D

146 kmph.

Soln.
Ans: a

We know 1m/s = \$18/5\$ kmph. So 40m/s = \$18/5 × 40\$ = 144 kmph.

### Question 2

Two cars, A and B, start to move towards each other. If they meet when A has travelled \$(1/4)\$th of the distance, what is the ratio of the speed of B to the speed of A?

A

3.

B

4.

C

2.

D

5.

Soln.
Ans: a

Let the speeds of the cars be u and v and the initial distance between them be L. When they meet they have travelled for the same time. So \$(L/4)/u = ({3L}/4)/v\$. The ratio \$v/u\$ = 3.

### Question 3

Two steamers X and Y travel towards a destination 624 km away. If Y travels 16 times faster than X, then it reaches 3 hours early. What is the speed of X?

A

195 kmph.

B

196 kmph.

C

194 kmph.

D

197 kmph.

Soln.
Ans: a

Let x be the speed of X, then the speed of Y is 16x. So \$624/x - 624/{16 × x} = 3.\$ Solving, we get x = 195 km/h.

### Question 4

A boy goes to his school at an average speed of 2 km/h, and returns back at an average speed of 3 km/h. What is the average speed for the to and fro journey?

A

\$2{2/5}\$ km/h.

B

\$4{1/4}\$ km/h.

C

1 km/h.

D

\$3{6/7}\$ km/h.

Soln.
Ans: a

If u and v are the to and fro speeds, then the standard formula is \${2uv}/{u + v}\$ = \${2 × 2 × 3}/{2 + 3}\$ = \${12/5}\$, which is same as: \$2{2/5}\$ km/h.

### Question 5

Two trains start simultaneously. The first train moves from Hyderabad to Bangalore, whereas the second train moves from Bangalore to Hyderabad. After they meet at a point in between, they respectively take 36 hours and 25 hours to reach their destinations. What is the ratio of their speeds?

A

\${5/6}\$.

B

\${11/5}\$.

C

\${17/8}\$.

D

\${23/8}\$.

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 \$√25 : √36\$, which gives 5 : 6, or \${5/6}\$.