Distance and Time Quiz Set 015

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Question 1

A boy walks along the three edges of an equilateral triangle at average speeds of 5 km/h, 9 km/h and 9 km/h. What is the average speed along the whole journey?

 A

$7{2/19}$ kmph.

 B

$8{5/9}$ kmph.

 C

$5{11/21}$ kmph.

 D

$9{1/7}$ kmph.

Soln.
Ans: a

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/5 + L/9 + L/9$. So overall average speed = ${3L}/{L/5 + L/9 + L/9}$ which simplifies to ${135/19}$, which is same as: $7{2/19}$ km/h.


Question 2

Speeds of A and B are in the ratio 12 : 17. What is the speed of A if B can cover a distance of 34 Km in 1 hour?

 A

24 kmph.

 B

25 kmph.

 C

23 kmph.

 D

26 kmph.

Soln.
Ans: a

The speed of B is 34/1 = 34 km/h. So, the speed of A = ${12 × 34}/17$ = 24 km/h.


Question 3

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.


Question 4

An aircraft was on a 1360 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

16 hrs.

 B

17 hrs.

 C

15 hrs.

 D

18 hrs.

Soln.
Ans: a

Let x be the actual duration of the journey. Then, $1360/x - 1360/{x + 1} = 5$. Which gives 1360 × $1/{x (x + 1)} = 5$. Solving for x, or by trying the options one by one, we get x = 16 hours.


Question 5

Speeds of A and B are in the ratio 7 : 9. What is the ratio of the times that they will take to cover a distance of 100 km?

 A

9 : 7.

 B

7 : 9.

 C

9 : 100.

 D

100 : 7.

Soln.
Ans: a

Let the speeds be 7x and 9x. The times they take to cover 100 km are $100/{7x}$ and $100/{9x}$. The ratio would be 9 : 7.


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This Blog Post/Article "Distance and Time Quiz Set 015" 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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