It takes 30 minutes to empty a half filled tank at a constant rate It is decided to pump the water i...........

Quantitative Aptitude (CDS) Pipes&cistern

It takes 30 minutes to empty a half-filled tank at a constant rate. It is decided to pump the water into that half-filled tank while draining it. What is the rate at which the water has to be pumped into the half-filled tank so that the tank gets fully filled in 10 minutes?

3:2

4:1

5:2

7:5

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Explanation:

A -> 30 minutes (-1/2) empty half filled tank
A -> 60 minutes (-1) empty full filled tank
10/x -10/60 = 1/2
10/x = 1/2 +1/6
10/x = 4/6
x = 60/4
x = 15 minutes
time -> 15: 60
= 1:4
efficiency = 4:1