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2 Pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is
  • a)
    120 gallons
  • b)
    69 gallons
  • c)
    180 gallons
  • d)
    100 gallons
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
2 Pipes can fill a tank in 20 and 24 minutes respectively and a waste ...
Work done by the waste pipe in 1 minute = 1/15 - ( 1/20 + 1/24 )
= ( 1/15 - 11/120 )
= - 1/40
[-ve sign means emptying]
∴ Volume of 1/40 part = 3 gallons
Volume of whole = (3 x 40) gallons = 120 gallons
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