SOLUTION: Raphael can load a large shipping truck in 15 hours. Working together, Raphael and Jana can load the same truck in 6 hours. How long would it take Jana to load the truck by herself
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-> SOLUTION: Raphael can load a large shipping truck in 15 hours. Working together, Raphael and Jana can load the same truck in 6 hours. How long would it take Jana to load the truck by herself
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Question 293667: Raphael can load a large shipping truck in 15 hours. Working together, Raphael and Jana can load the same truck in 6 hours. How long would it take Jana to load the truck by herself? Found 2 solutions by stanbon, richwmiller:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Raphael can load a large shipping truck in 15 hours. Working together, Raphael and Jana can load the same truck in 6 hours. How long would it take Jana to load the truck by herself?
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Rachael rate = 1/15 job/hr.
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Together rate = 1/6 job/hr
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Jana rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/15 + 1/x = 1/6
Multiply thru by 30x to get:
2x + 30 = 5x
3x = 30
x = 10 hr (time Jana needs to do the job alone)
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Cheers,
Stan H.