Distance and Time Quiz Set 009

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Question 1

A cyclist travels at a speed of 8km/h. Had he travelled at 10km/h he would have covered a distance of 6 km more. What is the total distance travelled by him?

 A

24 km.

 B

25 km.

 C

23 km.

 D

26 km.

Soln.
Ans: a

By the given problem, the time is same for both cases. If the total distance covered by him at 8km/h is x, then, $x/8 = {x + 6}/10$. Solving, we obtain x = 24 km.


Question 2

A boy walks along the three edges of an equilateral triangle at average speeds of 6 km/h, 2 km/h and 9 km/h. What is the average speed along the whole journey?

 A

$3{6/7}$ kmph.

 B

$5{2/3}$ kmph.

 C

$2{2/9}$ kmph.

 D

$5{1/3}$ kmph.

Soln.
Ans: a

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/6 + L/2 + L/9$. So overall average speed = ${3L}/{L/6 + L/2 + L/9}$ which simplifies to ${27/7}$, which is same as: $3{6/7}$ km/h.


Question 3

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.


Question 4

A school bus covers a certain distance in 2 hours at a speed of 48 km/h. At what speed should it travel to cover the same distance in 6 hours?

 A

16 kmph.

 B

17 kmph.

 C

15 kmph.

 D

18 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 = ${2 × 48}/6$ = 16km/h.


Question 5

A car is moving at a speed of 72 kmph. What is the speed in m/s?

 A

20 m/s.

 B

21 m/s.

 C

19 m/s.

 D

22 m/s.

Soln.
Ans: a

We know 1kmph = $5/18$ m/s. So 72kmph = $5/18 × 72$ = 20 m/s.


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This Blog Post/Article "Distance and Time Quiz Set 009" 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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