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Question

Two pipes A and B can fill a tank in 12 minutes and 15 minutes respectively . If both the taps are opened simultaneously , and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank

by tap  B ?


Options:
A .  7 min. 15 sec.
B .  7 min. 45 sec.
C .  8 min. 5 sec.
D .  8 min. 15 sec.
Answer: Option D

Part filled in 3 min. = `3(1/12 + 1/15) = (3 xx 9/60) = 9/20`

Remaining part = `(1 - 9/20) = 11/20`

part filled by B in 1 min. = `1/15`

`1/15 : 11/20 : : 1 : x       or x = (11/20 xx 1 xx 15) = 8 1/4`min. =  8 min. 15 sec.



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