Pipes P and Q fill a tank in 10 and 12 hours respectly C can empty it in 6 hours.if all three pipes are opened at 7 a.m.at what time will one fourth of the tank be filled?
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Answer:
10 PM
Step-by-step explanation:
First, multiply P by 6, Q by 5 and C by 10 in order to get them all to 60. This means that every 60 hours, P fills 6, Q fills 5 and C fills -10 (it drains 10).
Add all of them together and we get a net gain of 1 tank every 60 hours (ie. after 60 hours the tank will be full).
To get to one fourth of a tank, simply divide by 4 and we find that the tank will be 1/4 fill in 15 hours. 7+15=22 so at 2200 hours (10pm) on the same day, the tank will be 1/4 full.
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