Distance and Time Quiz Set 004

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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 3 : 1. What is the ratio of the times that they will take to cover a distance of 100 km?

 A

1 : 3.

 B

3 : 1.

 C

1 : 100.

 D

100 : 3.

Soln.
Ans: a

Let the speeds be 3x and 1x. The times they take to cover 100 km are $100/{3x}$ and $100/{1x}$. The ratio would be 1 : 3.


Question 3

Two trains start simultaneously. The first train moves from Jammu to Tawi, whereas the second train moves from Tawi to Jammu. After they meet at a point in between, they respectively take 4 hours and 9 hours to reach their destinations. What is the ratio of their speeds?

 A

${3/2}$.

 B

${5/2}$.

 C

${7/2}$.

 D

${9/4}$.

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 $√9 : √4$, which gives 3 : 2, or ${3/2}$.


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 5 : 8. What is the speed of A if B can cover a distance of 32 Km in 1 hour?

 A

20 kmph.

 B

21 kmph.

 C

19 kmph.

 D

22 kmph.

Soln.
Ans: a

The speed of B is 32/1 = 32 km/h. So, the speed of A = ${5 × 32}/8$ = 20 km/h.


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This Blog Post/Article "Distance and Time Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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