SOLUTION: Pipe A can fill in 20 minutes and Pipe B in 30 minutes and Pipe C can empty the same in 40 minutes. If all of them work together, find the time taken to fill the tank

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Question 636514: Pipe A can fill in 20 minutes and Pipe B in 30 minutes and Pipe C can empty the same in 40 minutes. If all of them work together, find the time taken to fill the tank
Answer by jerryguo41(162) About Me  (Show Source):
You can put this solution on YOUR website!
1. find the rate in which the cans can be filled by each pipe
2. write the equation
Rate of pipe A + Rate of pipe B + Rate of Pipe C = 1 Full Can
Rate of pipe A: 1/20 per min
Rate of pipe B: 1/30 per min
Rate of pipe C: 1/40 per min
x%2F20%2Bx%2F30%2Bx%2F40=1
x= number of min
3. Clear Fractions (*40)
2x%2B%284%2F3%29x%2Bx=40
13%2F3x=40
x=40%2F%2813%2F3%29
x=9.23
4. It will take 9 mins and 14 sec. to fill the empty can with all three pipes.