Distance and Time Quiz Set 014

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Question 1

A boy goes to his school at an average speed of 6 km/h, and returns back at an average speed of 3 km/h. What is the average speed for the to and fro journey?

 A

4 km/h.

 B

5 km/h.

 C

3 km/h.

 D

$2{1/3}$ km/h.

Soln.
Ans: a

If u and v are the to and fro speeds, then the standard formula is ${2uv}/{u + v}$ = ${2 × 6 × 3}/{6 + 3}$ = 4 km/h.


Question 2

An object covers a distance of 800 meters in 24 minutes. What is its speed?

 A

2 kmph.

 B

3 kmph.

 C

5 kmph.

 D

4 kmph.

Soln.
Ans: a

The speed = distance/time. It is $800/{24 × 60}$ × $18/5$ = 2 kmph.


Question 3

A train takes 4 hours less if its speed is increased by 4 km/hr. What is the normal speed if the distance is 32km?

 A

4.

 B

5.

 C

3.

 D

6.

Soln.
Ans: a

Let the normal speed be x km/hr. We have been given $32/x$ - $32/{x + 4}$ = 4. This translates to the quadratic equation $4x^2 + 16x - 128 = 0$, which can be solved to obtain x = 4 as the answer. If you don't want to solve the equation, then you can put each option into this equation and check that way. But this trick will work only if all the options have some numerical value.


Question 4

A car is moving at a speed of 54 kmph. What is the speed in m/s?

 A

15 m/s.

 B

16 m/s.

 C

14 m/s.

 D

17 m/s.

Soln.
Ans: a

We know 1kmph = $5/18$ m/s. So 54kmph = $5/18 × 54$ = 15 m/s.


Question 5

Two cars A and B begin to move towards each other and meet midway after travelling equal distance. What is the initial distance between them if the speeds of A and B are 3 km/h and 9 km/h, and B started 1 hour late?

 A

9 km.

 B

10 km.

 C

8 km.

 D

4 km.

Soln.
Ans: a

If the distance between them is L, they meet after travelling L/2. Equating the times they travelled, $L/{2 × 3} = L/{2 × 9} + 1$. Solving for L we get L = 9 km.


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Creative Commons License
This Blog Post/Article "Distance and Time Quiz Set 014" 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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