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Question

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively . Both the pipes are opened together but after 4 minutes , pipe  A is turned of . What is the total time required to fill he tank ?


Options:
A .  10 min. 20 sec.
B .  11 min. 45 sec.
C .  12 min. 30 sec.
D .  14 min. 40 sec.
Answer: Option D

Part filled in 4 minutes = `4(1/15 + 1/20) = 7/15`

Remaining part = `(1 - 7/15) =  8/15`.

Part filled by  B in 1 minute = `1/20`

`1/20 : 8/15 : : 1 : x     or  x = (8/15 xx 1 xx 20) = 10 2/3` min. =  10 min. 40 sec.

`:.`        The tank will be full in (4 min. + 10 min.40 sec.) =  14 min. 40 sec.



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