SSC CGL 24 Aug 2021 Shift 3 Paper

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Question : 66 of 100

Marks: +1, -0

A tank is filled in

4 {h}

by three pipes

A, B

and

C

. The pipe

C

is

1 \;{1}/{2}

times as fast as

B

and

B

is 3 times as fast as

A

. How many hours will pipe

A

alone take to fill the tank?

17
30
34
15

Solution:

Given, tank filled in

4 {h}

.
Let

A=x

,

B

is 3 times as fast as

A

.

B=3 x

C

is

\;{3}/{2}

time as fast as

B

.

C=\;{3}/{2} × 3 x=\;{9}/{2} x

⇒ \;\; M_{1} × H_{1} × D_{1}=M_{2} × D_{2} × H_{2}

⇒(x+3 x+\;{9}/{2} x) × 4=x × H_{2}

⇒(\;{2 x+6 x+9 x}/{2}) × 4=x × H_{2}

⇒ \;\; (\;{17}/{2} x × 4)=H_{2} × x

⇒ \;\; 34 x=H_{2} × x

∴ \;\text " A takes "\; 34 \;\text " h to fill the tank. "\;

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