SOLUTION: a tank can be filled in 45 minutes and by another pipe in 55 minutes. how long will it take both to fill it?

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Question 377656: a tank can be filled in 45 minutes and by another pipe in 55 minutes. how long will it take both to fill it?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent time in minutes it takes to fill the tank together

Per minute is the Equalizer

1/45 + 1/55 = 1/x  Mulitplying each term by 45*55x so as all denominators = 1

55x + 45x = 45*55

100x = 45*55

x = 45*55/100

x = 27.75 min, time in minutes it takes to fill the tank together