# Distance and Time Quiz Set 005

### Question 1

A car is moving at a speed of 15 meters per second. What is the speed in Km/h?

A

54 kmph.

B

55 kmph.

C

53 kmph.

D

56 kmph.

Soln.
Ans: a

We know 1m/s = \$18/5\$ kmph. So 15m/s = \$18/5 × 15\$ = 54 kmph.

### Question 2

A car is moving at a speed of 35 meters per second. What is the speed in Km/h?

A

126 kmph.

B

127 kmph.

C

125 kmph.

D

128 kmph.

Soln.
Ans: a

We know 1m/s = \$18/5\$ kmph. So 35m/s = \$18/5 × 35\$ = 126 kmph.

### Question 3

Two trains start simultaneously. The first train moves from Jallandhar to Amritsar, whereas the second train moves from Amritsar to Jallandhar. After they meet at a point in between, they respectively take 100 hours and 36 hours to reach their destinations. What is the ratio of their speeds?

A

\${3/5}\$.

B

2.

C

\${13/7}\$.

D

\${18/7}\$.

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 \$√36 : √100\$, which gives 6 : 10, or \${3/5}\$.

### Question 4

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.

### Question 5

A train passes two persons walking in the same direction as the train. The time it takes to move past the man running at 5km/h is 8sec, whereas the time it takes to cross the other man running at 6km/h is 9sec. What is the speed of the train?

A

14km/h.

B

15km/h.

C

13km/h.

D

16km/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 - 5) × 8\$. It should equal the length obtained from the data for the second man. So \$(v - 5) × 8\$ = \$(v - 6) × 9\$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 14km/h.