SOLUTION: Pump A can fill a water jar two times faster than Pump B. Working together, the two pumps fill water jars in five hours. How long does it take for each pump to fill a water jar ind
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-> SOLUTION: Pump A can fill a water jar two times faster than Pump B. Working together, the two pumps fill water jars in five hours. How long does it take for each pump to fill a water jar ind
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Question 232146: Pump A can fill a water jar two times faster than Pump B. Working together, the two pumps fill water jars in five hours. How long does it take for each pump to fill a water jar individually?
I don't know how to solve, or the equations I would need. Answer by solver91311(24713) (Show Source):
Let represent the number of hours it would take A to fill the jar by itself. Since A pumps twice as fast as B, it would take B two times longer to fill the jar, so represents the number of hours it would take B to fill the jar by itself.
Since is the amount of time for A to fill the jar, is the amount of the jar that A can fill in 1 hour. Likewise, B can fill in one hour. And together they can fill:
of the jar in 1 hour.
Add 'em up:
And we know it takes 5 hours to fill the jar working together, so we can conclude that together they can fill of the jar in 1 hour, therefore:
Solve for to get the time for A to fill the jar by itself (Hint cross-multiply). B is twice that value.
