During rainy season huge inflow of water takes place into a reservoir Measures are taken to clear th...........

Quantitative Aptitude (MTS) Time & distance

During rainy season, huge inflow of water takes place into a reservoir. Measures are taken to clear the reservoir while water

keeps flowing into it at a constant rate. It has been observed that seven and five men can clear the reservoir in 20 and 50 days,

respectively, with the initial quantity of water in the reservoir being 24 and 36 kilolitres, respectively. What is the rate of inflow

of water into the reservoir in litres per day?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-3

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Explanation:

Correct option 1: 480

Given:
The initial quantity of water in the reservoir is 24 and 36 kilolitres
Concept used:
Efficiency = Total work/(M x T)
Solution:
Let each day x kiloliters of water flows into the reservoir.
In 20 days 7 men clear 24 + 20x
In 1 day 1 man clear (24 + 20x )/(7 x 20)
Similarly,
In 50 days 5 men clear 36 + 50x
In 1 day 1 man clear (36 + 50x )/(5 x 50)
According to the concept,
(24 + 20x )/(7 x 20) = (36 + 50x)/(5 x 50)
Solving we get
x=96/200
Rate of water inflow = 96/200 kiloliters or 96/200 x 1000 = 480 liters
:. The rate of inflow of water into the reservoir in litres per day is 480 liters