CMAT 2021 Solved Question Paper

Question : 16 of 100

Marks: +1, -0

Pipe X can fill a tank in 12 h and Pipe Y can empty the tank in 18 h. Both pipes are opened at 8 am and after some time

{\Y}

is closed, and the tank is full at

10 {\pm}

on the same day. At what time was Pipe Y closed?

Solution:

Let the Pipe

\Y

is opened for

x

h.
∴ According to the question,

{14}/{12}-{x}/{18}=1

⇒

{42-2 x}/{36}=1

⇒

42-2 x=36

⇒

2 x=42-36=6

x={6}/{2}=3 h

∴ Pipe

\Y

is closed at

8 \am+3 \h=11 \am

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