Distance and Time Quiz Set 017

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Question 1

A vehicle travels 50% of its distance at 3 km/h, and the remaining 50% at 7 km/h. What is the total distance, if it travelled for a total duration of 20 hours?

 A

84 km.

 B

85 km.

 C

83 km.

 D

86 km.

Soln.
Ans: a

Let 2x be the actual duration of the journey. Then, $x/3 + x/7 = 20$. Solving for x we get x = 42, and so, 2x = 84 km.


Question 2

A boy goes to his school at an average speed of 5 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

$3{3/4}$ 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 ${2uv}/{u + v}$ = ${2 × 5 × 3}/{5 + 3}$ = ${15/4}$, which is same as: $3{3/4}$ km/h.


Question 3

A school bus covers a certain distance in 4 hours at a speed of 56 km/h. At what speed should it travel to cover the same distance in 7 hours?

 A

32 kmph.

 B

33 kmph.

 C

31 kmph.

 D

34 kmph.

Soln.
Ans: a

Let t1, v1 and t2, v2 be the speeds and times for covering the same distance. We have t1 × v1 = t2 × v2. From here we get v2 = ${4 × 56}/7$ = 32km/h.


Question 4

An aircraft was on a 1050 km journey. Its engine developed a snag so it had to slow down. It's average speed reduced by 5km/h, as a result of which it reached its destination late by 1 hour. What was the actual duration of the journey?

 A

14 hrs.

 B

15 hrs.

 C

13 hrs.

 D

16 hrs.

Soln.
Ans: a

Let x be the actual duration of the journey. Then, $1050/x - 1050/{x + 1} = 5$. Which gives 1050 × $1/{x (x + 1)} = 5$. Solving for x, or by trying the options one by one, we get x = 14 hours.


Question 5

A city bus has an average speed of 25 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

$19{1/5}$ mins.

 B

$25{1/4}$ mins.

 C

13 mins.

 D

$15{6/7}$ mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 25 - 17 = 8 in one hour. The time taken for that distance would be the wastage due to stopping = $8/25$ × 60 = $19{1/5}$ mins.


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This Blog Post/Article "Distance and Time Quiz Set 017" 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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