Distance and Time Quiz Set 019

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Question 1

A vehicle travels 50% of its distance at 4 km/h, and the remaining 50% at 8 km/h. What is the total distance, if it travelled for a total duration of 24 hours?

 A

128 km.

 B

129 km.

 C

127 km.

 D

130 km.

Soln.
Ans: a

Let 2x be the actual duration of the journey. Then, $x/4 + x/8 = 24$. Solving for x we get x = 64, and so, 2x = 128 km.


Question 2

A boy goes to his school at an average speed of 3 km/h, and returns back at an average speed of 5 km/h. What is the average speed for the to and fro journey?

 A

$3{3/4}$ km/h.

 B

$6{1/3}$ km/h.

 C

$1{5/6}$ km/h.

 D

$4{1/2}$ km/h.

Soln.
Ans: a

If u and v are the to and fro speeds, then the standard formula is ${2uv}/{u + v}$ = ${2 × 3 × 5}/{3 + 5}$ = ${15/4}$, which is same as: $3{3/4}$ km/h.


Question 3

Two trains start simultaneously. The first train moves from Mumbai to Baroda, whereas the second train moves from Baroda to Mumbai. After they meet at a point in between, they respectively take 16 hours and 4 hours to reach their destinations. What is the ratio of their speeds?

 A

${1/2}$.

 B

${3/2}$.

 C

${5/2}$.

 D

${7/4}$.

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 $√4 : √16$, which gives 2 : 4, or ${1/2}$.


Question 4

Speeds of A and B are in the ratio 3 : 1. What is the speed of A if B can cover a distance of 2 Km in 1 hour?

 A

6 kmph.

 B

7 kmph.

 C

5 kmph.

 D

8 kmph.

Soln.
Ans: a

The speed of B is 2/1 = 2 km/h. So, the speed of A = ${3 × 2}/1$ = 6 km/h.


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 37km/h is 17sec, whereas the time it takes to cross the other man running at 44km/h is 18sec. What is the speed of the train?

 A

163km/h.

 B

164km/h.

 C

162km/h.

 D

165km/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 = $(v - 37) × 17$. It should equal the length obtained from the data for the second man. So $(v - 37) × 17$ = $(v - 44) × 18$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 163km/h.


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This Blog Post/Article "Distance and Time Quiz Set 019" 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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