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Pipe M can fill 3/4th of tank P in 45 minutes, and pipe N can fill 80% of the tank in 40 minutes. If the capacity of tank Q is 50% less than that of t
Question



Pipe M can fill 3/4th of tank P in 45 minutes, and pipe N can fill 80% of the tank in 40 minutes. If the capacity of tank Q is 50% less than that of tank P and the efficiency of pipe N is decreased by 25%, then find the time (in minutes) taken by pipes M and N together to fill tank Q (approx.).

A.

11

B.

16

C.

19

D.

7

E.

24

Correct option is B

Pipe M can fill the tank P =

minutes
Pipe N can fill the tank P =

minutes
Capacity of the tank P (LCM of 60 & 50) = 300 units
Efficiency of pipe M = 300/60 = 5 units/min
Efficiency of pipe N = 300/50 = 6 units/min
Capacity of the tank Q = 300×(1/2) =150 units
New efficiency of pipe N = (3/4)×6=4.5 units/min
Required time =

minutes

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