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Pipe A can fill 200/3% of a tank in 20 minutes and pipe A & B together can fill the same tank in 12 minutes. Find pipe B can fill what part of the
Question


Pipe A can fill 200/3% of a tank in 20 minutes and pipe A & B together can fill the same tank in 12 minutes. Find pipe B can fill what part of the tank in 15 minutes.

A.

1/3 rd

B.

2/3 rd

C.

None of these

D.

1/4 th

E.

3/4 th

Correct option is E

A and B together fill the whole tank = 12 minutes
Let the capacity of tank be 60 units (LCM of 20 & 12)
then, pipe A’s efficiency =60/30=2 units/min
together pipe (A+ B)’s efficiency =60/12 = 5 units/min
so, pipe B’s efficiency = 3 units/min
Pipe B can fill 45 units i.e. 3/4 th part of tank in 15 minutes.

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