Distance and Time Quiz Set 017 | Maths Aptitude Quiz Questions and Mock Test on Distance and Time Set 17 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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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 36km. What is the speed of the bus X, if the bus Y wasted 6 hours during its journey?

2 kmph.

3 kmph.

5 kmph.

4 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 $36/x - 36/({3x}/2)$ = 6, which becomes 36 × $1/{3x}$ = 6. Solving, we get x = 2 km/h.

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Question 2

A boy goes to his school at an average speed of 3 km/h, and returns back at an average speed of 5 km/h. What is the average speed for the to and fro journey?

$3{3/4}$ km/h.

$6{1/3}$ km/h.

$1{5/6}$ km/h.

$4{1/2}$ km/h.

Soln.
Ans: a

If u and v are the to and fro speeds, then the standard formula is ${2uv}/{u + v}$ = ${2 × 3 × 5}/{3 + 5}$ = ${15/4}$, which is same as: $3{3/4}$ km/h.

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Question 3

Speeds of A and B are in the ratio 3 : 1. What is the speed of A if B can cover a distance of 2 Km in 1 hour?

6 kmph.

7 kmph.

5 kmph.

8 kmph.

Soln.
Ans: a

The speed of B is 2/1 = 2 km/h. So, the speed of A = ${3 × 2}/1$ = 6 km/h.

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Question 4

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?

1 : 3.

3 : 1.

1 : 100.

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.

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Question 5

Two cars, A and B, start to move towards each other. If they meet when A has travelled $(1/9)$^th of the distance, what is the ratio of the speed of B to the speed of A?

10.

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 $(L/9)/u = ({8L}/9)/v$. The ratio $v/u$ = 8.

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