Distance and Time Quiz Set 003

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Question 1

Bus X travels 50% faster than bus Y. They start together and meet at the same time after travelling a distance of 24km. What is the speed of the bus X, if the bus Y wasted 2 hours during its journey?

 A

4 kmph.

 B

5 kmph.

 C

3 kmph.

 D

6 kmph.

Soln.
Ans: a

Let the speed of bus X be x, and of Y be 3x/2. The difference in the times taken by them is $24/x - 24/({3x}/2)$ = 2, which becomes 24 × $1/{3x}$ = 2. Solving, we get x = 4 km/h.


Question 2

A city bus has an average speed of 17 km/h if it doesn't stop anywhere. But if it stops in-between the average speed drops to 14 km/h. How many minutes does it stop in 1 hour?

 A

$10{10/17}$ mins.

 B

$12{5/16}$ mins.

 C

$8{11/19}$ mins.

 D

$12{3/19}$ mins.

Soln.
Ans: a

Due to stoppages, it covers a less distance of 17 - 14 = 3 in one hour. The time taken for that distance would be the wastage due to stopping = $3/17$ × 60 = $10{10/17}$ mins.


Question 3

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 4

A traveler travelled partly by camel @3 km/h and partly by car @13 km/h. He travelled a total distance 200 km in 20 hours. How much distance did he cover with the camel?

 A

18 km.

 B

19 km.

 C

17 km.

 D

20 km.

Soln.
Ans: a

Let us suppose that he travels x km with the camel, and the remaining (200 - x) km with the car. Total time is $x/3 + {200 - x}/13 = 20.$ Solving, we get x = 18 km.


Question 5

A boy walks along the three edges of an equilateral triangle at average speeds of 5 km/h, 8 km/h and 3 km/h. What is the average speed along the whole journey?

 A

$4{44/79}$ kmph.

 B

$5{49/78}$ kmph.

 C

$3{38/81}$ kmph.

 D

$7{10/27}$ kmph.

Soln.
Ans: a

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/5 + L/8 + L/3$. So overall average speed = ${3L}/{L/5 + L/8 + L/3}$ which simplifies to ${360/79}$, which is same as: $4{44/79}$ km/h.


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This Blog Post/Article "Distance and Time Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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