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Pipe A can fill a tank in 72 hours, while pipe B takes 125% time than A to fill the same tank. Find the time taken by both pipe A and B to fill 2/5th
Question

Pipe A can fill a tank in 72 hours, while pipe B takes 125% time than A to fill the same tank. Find the time taken by both pipe A and B to fill 2/5th of the tank?

A.

15 hours 

B.

12 hours 

C.

8 hours

D.

27 hours 

E.

16 hours 

Correct option is E

Time taken by pipe B to fill the tank = 72 ×5/4 = 90 hours
Capacity of tank = 360 unit (LCM of 72 & 90)
Efficiency of pipe A = 360/72=5 unit/hour
Efficiency of pipe B = 360/90 = 4 unit/hour
Required time =360 ×2/5×1/9=16 hours

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