Two pipes can fill a tank in 10 and 14 minutes respectively and a waste pipe can empty 4 gallons per...........

Quantitative Aptitude ( CCS) Pipes&cistern

Two pipes can fill a tank in 10 and 14 minutes respectively and a waste pipe can empty 4 gallons per minute. If all the pipes working together can fill the tank in 6 minutes, what is the capacity of the tank?

840 gallons

900 gallons

1020 gallons

1200 gallons

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Explanation:

Work done by waste pipe in 1 min = (Part filled by total pipes together) -(part filled by first pipe + part filled by second pipe)
= 1/6 – [(1/10) + (1/14)] = 1/6 – (24/140) = -1/210
Here, negative (-) sign indicates emptying of tank.

To find the capacity, we need to determine the volume of 1/210 part.
Therefore, volume of 1/210 part = 4 gallons ---------(given condition)
Hence, the capacity of tank = volume of whole = 4 x 210 = 840 gallons.

Hence, option 1 is the correct answer.