Distance and Time Quiz Set 018

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Question 1

A boy walks along the three edges of an equilateral triangle at average speeds of 3 km/h, 9 km/h and 8 km/h. What is the average speed along the whole journey?

 A

$5{11/41}$ kmph.

 B

$6{17/40}$ kmph.

 C

$4{3/43}$ kmph.

 D

$7{38/43}$ kmph.

Soln.
Ans: a

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/3 + L/9 + L/8$. So overall average speed = ${3L}/{L/3 + L/9 + L/8}$ which simplifies to ${216/41}$, which is same as: $5{11/41}$ km/h.


Question 2

A train passes two persons walking in the same direction as the train. The time it takes to move past the man running at 5km/h is 8sec, whereas the time it takes to cross the other man running at 6km/h is 9sec. What is the speed of the train?

 A

14km/h.

 B

15km/h.

 C

13km/h.

 D

16km/h.

Soln.
Ans: a

Let the speed of the train be v km/h. Length of the train calculated with the data for the first man = $(v - 5) × 8$. It should equal the length obtained from the data for the second man. So $(v - 5) × 8$ = $(v - 6) × 9$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 14km/h.


Question 3

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 2 km/h and 4 km/h, and B started 1 hour late?

 A

8 km.

 B

9 km.

 C

7 km.

 D

$3{2/3}$ km.

Soln.
Ans: a

If the distance between them is L, they meet after travelling L/2. Equating the times they travelled, $L/{2 × 2} = L/{2 × 4} + 1$. Solving for L we get L = 8 km.


Question 4

An object covers a distance of 2800 meters in 21 minutes. What is its speed?

 A

8 kmph.

 B

9 kmph.

 C

7 kmph.

 D

10 kmph.

Soln.
Ans: a

The speed = distance/time. It is $2800/{21 × 60}$ × $18/5$ = 8 kmph.


Question 5

Two cars, A and B, start to move towards each other. If they meet when A has travelled $(1/6)$th of the distance, what is the ratio of the speed of B to the speed of A?

 A

5.

 B

6.

 C

4.

 D

7.

Soln.
Ans: a

Let the speeds of the cars be u and v and the initial distance between them be L. When they meet they have travelled for the same time. So $(L/6)/u = ({5L}/6)/v$. The ratio $v/u$ = 5.


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This Blog Post/Article "Distance and Time Quiz Set 018" 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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