SOLUTION: Solve for x
Working together Ben and Frank was 1,000 dishes in 3 hours. Ben works twice as fast as Frank. How long does it take Frank to wash dishes alone?
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Working together Ben and Frank was 1,000 dishes in 3 hours. Ben works twice as fast as Frank. How long does it take Frank to wash dishes alone?
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Question 1112621: Solve for x
Working together Ben and Frank was 1,000 dishes in 3 hours. Ben works twice as fast as Frank. How long does it take Frank to wash dishes alone? Answer by ikleyn(52787) (Show Source):
You can put this solution on YOUR website! .
Solve for x
Working together Ben and Frank wash 1,000 dishes in 3 hours. Ben works twice as fast as Frank.
How long does it take Frank to wash dishes alone?
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I just solved it (in semi-joking form) at this link
But if you want to get the solution in the serious algebraic form, here it is.
Let x be the Frank's rate, measured in dishes per hour.
Then the Ben rate is 2x dishes per hour.
The combined rate of work is x + 2x = 3x dishes per hour.
We are given 3x * 3 hours = 1000 dishes, or
9x = 1000 dishes
Now divide both sides of this equation by x. You will get
9 = .
It means that Frank will make all the job in 9 hours, working alone.
