SOLUTION: A and B are two taps require to fill one tank in 15 hour.these two taps are kept open for 12 hours then tap B is closed then tank required more 8 hours to fill then find the time t

Question 1098982: A and B are two taps require to fill one tank in 15 hour.these two taps are kept open for 12 hours then tap B is closed then tank required more 8 hours to fill then find the time that tap require to fill the tank seperately
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate of filling of A tap
in [ tanks ] / [ hr ]
Let = the rate of filling of B tap
in [ tanks] / [ hr ]
----------------------------------------
(1)
of the tank is filled in 12 hrs
with both taps open. of the tank is
left to be filled. Tap B is closed
(2)
-----------------------------------------
(2)
and
(1)
multiply both sides by
(1)
(1)
(1)
-----------------------
Tap A takes 40 hrs to fill tank by itself
Tap B takes 24 hrs to fill tank by itself
-----------------------------------
check:
(1)
(1)
Multiply both sides by
(1)
(1)
OK
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