Distance and Time Quiz Set 019 | Maths Aptitude Quiz Questions and Mock Test on Distance and Time Set 19 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A car is moving at a speed of 40 meters per second. What is the speed in Km/h?

144 kmph.

145 kmph.

143 kmph.

146 kmph.

Soln.
Ans: a

We know 1m/s = $18/5$ kmph. So 40m/s = $18/5 × 40$ = 144 kmph.

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Question 2

Two cars, A and B, start to move towards each other. If they meet when A has travelled $(1/4)$^th of the distance, what is the ratio of the speed of B to the speed of A?

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 $(L/4)/u = ({3L}/4)/v$. The ratio $v/u$ = 3.

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Question 3

Two steamers X and Y travel towards a destination 624 km away. If Y travels 16 times faster than X, then it reaches 3 hours early. What is the speed of X?

195 kmph.

196 kmph.

194 kmph.

197 kmph.

Soln.
Ans: a

Let x be the speed of X, then the speed of Y is 16x. So $624/x - 624/{16 × x} = 3.$ Solving, we get x = 195 km/h.

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Question 4

A boy goes to his school at an average speed of 2 km/h, and returns back at an average speed of 3 km/h. What is the average speed for the to and fro journey?

$2{2/5}$ km/h.

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

1 km/h.

$3{6/7}$ km/h.

Soln.
Ans: a

If u and v are the to and fro speeds, then the standard formula is ${2uv}/{u + v}$ = ${2 × 2 × 3}/{2 + 3}$ = ${12/5}$, which is same as: $2{2/5}$ km/h.

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Question 5

Two trains start simultaneously. The first train moves from Hyderabad to Bangalore, whereas the second train moves from Bangalore to Hyderabad. After they meet at a point in between, they respectively take 36 hours and 25 hours to reach their destinations. What is the ratio of their speeds?

${5/6}$.

${11/5}$.

${17/8}$.

${23/8}$.

Soln.
Ans: a

If they take $t_1 and t_2$ hours respectively to reach their destinations, then the ratio of their speeds is $√t_2 : √t_1$. So we get $√25 : √36$, which gives 5 : 6, or ${5/6}$.

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