Distance and Time Quiz Set 007

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Question 1

A boy goes to his school at an average speed of 5 km/h, and returns back at an average speed of 6 km/h. What is the average speed for the to and fro journey?

 A

$5{5/11}$ km/h.

 B

$7{1/10}$ km/h.

 C

$3{10/13}$ km/h.

 D

$7{2/13}$ km/h.

Soln.
Ans: a

If u and v are the to and fro speeds, then the standard formula is ${2uv}/{u + v}$ = ${2 × 5 × 6}/{5 + 6}$ = ${60/11}$, which is same as: $5{5/11}$ km/h.


Question 2

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 3

A school bus covers a certain distance in 7 hours at a speed of 4 km/h. At what speed should it travel to cover the same distance in 2 hours?

 A

14 kmph.

 B

15 kmph.

 C

13 kmph.

 D

16 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 = ${7 × 4}/2$ = 14km/h.


Question 4

Two steamers X and Y travel towards a destination 192 km away. If Y travels 2 times faster than X, then it reaches 16 hours early. What is the speed of X?

 A

6 kmph.

 B

7 kmph.

 C

5 kmph.

 D

8 kmph.

Soln.
Ans: a

Let x be the speed of X, then the speed of Y is 2x. So $192/x - 192/{2 × x} = 16.$ Solving, we get x = 6 km/h.


Question 5

Two steamers X and Y travel towards a destination 2772 km away. If Y travels 14 times faster than X, then it reaches 11 hours early. What is the speed of X?

 A

234 kmph.

 B

235 kmph.

 C

233 kmph.

 D

236 kmph.

Soln.
Ans: a

Let x be the speed of X, then the speed of Y is 14x. So $2772/x - 2772/{14 × x} = 11.$ Solving, we get x = 234 km/h.


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This Blog Post/Article "Distance and Time Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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