SOLUTION: one pipe can fill a tank in 3 hours, the second can fill a tank in 4 hours and the third can fill a tank in 6 hours. How long will it take to fill the tank with all three pipes op

Question 942708: one pipe can fill a tank in 3 hours, the second can fill a tank in 4 hours and the third can fill a tank in 6 hours. How long will it take to fill the tank with all three pipes operating?
thank you
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
rate:
r = w/t
rates are additive:
r = 1/3 + 1/4 + 1/6
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time:
t = w/r
t = 1/(1/3 + 1/4 + 1/6)
t = 1.33333333333 hours
t = 1 1/3 hours
t = 1 hour and (1/3 hour * 60 minutes/hour)
t = 1 hour and 20 minutes
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