Distance and Time Quiz Set 010

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Question 1

A boy walks along the three edges of an equilateral triangle at average speeds of 7 km/h, 4 km/h and 5 km/h. What is the average speed along the whole journey?

 A

$5{5/83}$ kmph.

 B

$6{11/82}$ kmph.

 C

$3{82/85}$ kmph.

 D

$7{74/85}$ kmph.

Soln.
Ans: a

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/7 + L/4 + L/5$. So overall average speed = ${3L}/{L/7 + L/4 + L/5}$ which simplifies to ${420/83}$, which is same as: $5{5/83}$ km/h.


Question 2

A car is moving at a speed of 90 kmph. What is the speed in m/s?

 A

25 m/s.

 B

26 m/s.

 C

24 m/s.

 D

27 m/s.

Soln.
Ans: a

We know 1kmph = $5/18$ m/s. So 90kmph = $5/18 × 90$ = 25 m/s.


Question 3

An aircraft was on a 220 km journey. Its engine developed a snag so it had to slow down. It's average speed reduced by 2km/h, as a result of which it reached its destination late by 1 hour. What was the actual duration of the journey?

 A

10 hrs.

 B

11 hrs.

 C

9 hrs.

 D

12 hrs.

Soln.
Ans: a

Let x be the actual duration of the journey. Then, $220/x - 220/{x + 1} = 2$. Which gives 220 × $1/{x (x + 1)} = 2$. Solving for x, or by trying the options one by one, we get x = 10 hours.


Question 4

A car is moving at a speed of 35 meters per second. What is the speed in Km/h?

 A

126 kmph.

 B

127 kmph.

 C

125 kmph.

 D

128 kmph.

Soln.
Ans: a

We know 1m/s = $18/5$ kmph. So 35m/s = $18/5 × 35$ = 126 kmph.


Question 5

A school bus covers a certain distance in 3 hours at a speed of 42 km/h. At what speed should it travel to cover the same distance in 6 hours?

 A

21 kmph.

 B

22 kmph.

 C

20 kmph.

 D

23 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 = ${3 × 42}/6$ = 21km/h.


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This Blog Post/Article "Distance and Time Quiz Set 010" 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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