The Pipes

Algebra Level 2

Two pipes A and B can fill a tank in 20 and 30 minutes respectively.If both the pipes are used together, then how long will it take to fill the tank?

15 mins 50 mins 25 mins 12 mins

Ambareesh Manohar by ambareesh manohar , 22, India

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2 solutions

Oli Hohman
Feb 3, 2015

Part filled by A in 1 min = 1/20

Part filled by B in 1 min = 1/30 .

Part filled by (A + B) in 1 min =1/20+1/30 = 3/60 + 2/60 = 5/60 = 1/12

Since 1/12 of it is filled in one minute (and assuming linearity given the information), then it would take 12 minutes for it fill the entire tank.

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t 20 + t 30 = 1 \dfrac{t}{20}+\dfrac{t}{30}=1

t = 12 m i n u t e s t=12~minutes

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