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MAT Exam 2023 Paper

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Question : 119 of 200

Marks: +1, -0

How many litres of water flows out of a pipe of cross section

15 \mathrm{~cm}^{2}

in 1 min, if the speed of water in the pipe is 30 cm/sec?

20 litres
15 litres
27 litres
18 litres

Solution:

Concept:

Volume of water flowing per second equals cross-section area multiplied by speed of water.

Explanation:

Cross-section area

= 15 \text{ cm}^2

Speed of water

= 30 \text{ cm/sec}

Volume flowing per second

= 15 \times 30 = 450 \text{ cm}^3

Time

= 1 \text{ min} = 60 \text{ sec}

Volume in 1 minute

= 450 \times 60 = 27000 \text{ cm}^3

Since

1000 \text{ cm}^3 = 1 \text{ litre}

,

Volume in litres

= \dfrac{27000}{1000} = 27 \text{ litres}

Answer:

27 \text{ litres}

i.e. Option C.

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