Distance and Time Quiz Set 005

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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.


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This Blog Post/Article "Distance and Time Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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