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Question

Two pipes A and B can fill a tank in 15 hours and 20 hours respectively while a third pipe C can empty the full tank in 25 hours . All the three pipes are opened in the beginning . After 10 hours. C is closed. In how much time , will the tank be full ?


Options:
A .  12 hrs.
B .  13 hrs.
C .  16 hrs.
D .  18 hrs.
Answer: Option A

Part filled in 10 hours = `10(1/15 + 1/20  - 1/25) = 23/30`

Remaining part = `(1 - 23/30) = 7/30`

(A + B)'s 1 hour's  work = `(1/15 + 1/20) =  7/60`.

`7/60 : 7/30 : : 1 : x      or   x = (7/30 xx 1 xx 60/7)` = 2 hours

`:.`     The tank will  be full  in (10 + 2) hrs. =  12 hrs.



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