Question

A cistern can be filled completely by pipe A and B together in 12 hours if pipe A works with twice speed while pipe B work with 50 percent more speed than cistern can be filled completely in 7 hours.find the capacity of cistern if flow of water through pipe A is 2.5L/minute

Answer 1

A+B=1/12

150% of B =(3/2 )B

now 2A+(3/2)B=1/7

Solving Both we get B=1/21 hours

then put it in any above we get A=(1/12)-(1/21)=1/28

therefore A worked in 28 h

per minute A pipe capacity is 2.5 litres

now 28*60*2.5=4200 litres capacity of tank

Answer 2

Answer:

The capacity of the tank is 4200L.

Explanation:

Given A and B can fill the tank in 12 hours.

therefore, A+B=1/12

150% of B =(3/2 )B

now 2A+(3/2)B=1/7

Solving Both we get B=1/21 hours

then put it in any above we get A=(1/12)-(1/21)=1/28

therefore A worked in 28 h

per minute A pipe capacity is 2.5 litres

now 28*60*2.5=4200 litres capacity of tank

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