SOLUTION: If “Hose A” can fill a barrel in 2 minutes and “Hose B” can fill a barrel in 4 minutes, how many minutes will it take both hoses together to fill the barrel.

Algebra ->  Sequences-and-series -> SOLUTION: If “Hose A” can fill a barrel in 2 minutes and “Hose B” can fill a barrel in 4 minutes, how many minutes will it take both hoses together to fill the barrel.       Log On


   

Question 1073523: If “Hose A” can fill a barrel in 2 minutes and “Hose B” can fill a barrel in 4
minutes, how many minutes will it take both hoses together to fill the barrel.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%281%2F2%2B1%2F4%29 MINUTES


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Too quick for you so more steps to analyze were wanted


Hose A and hose B, when working to fill the barrel at the same time do so at a rate, THE SUM of hose A and hose B.

The rate unit here is BARREL per MINUTE.

Hose A
1%2F2, BARREL per MINUTES, or two minutes per barrel

Hose B
1%2F4 BARREL per MINUTES

So their combined rate in barrels per minute will be
1%2F2%2B1%2F4

2%2F4%2B1%2F4

highlight%283%2F4%29, the rate in barrels per minute;

but you want how many MINUTES per ONE BARREL,
which will be just the reciprocal, or....

4%2F3 MINUTES per BARREL.


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One minute and twenty seconds
1 minute 20 seconds