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Question 1192756: A mechanic can fix a car twice as fast as his helper. One day, the mechanic and helper worked together for 2 hours. Then the mechanic got called away, and the helper needed 1 more hour to finish the job. How long does it take the helper, working alone, to fix the car?
Answer by ikleyn(52772)   (Show Source):
You can put this solution on YOUR website! .
A mechanic can fix a car twice as fast as his helper.
One day, the mechanic and helper worked together for 2 hours.
Then the mechanic got called away, and the helper needed 1 more hour to finish the job.
How long does it take the helper, working alone, to fix the car?
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Let x be the rate of work of the helper; then the rate of work of the mechanic is 2x.
In 2 hours, the helper will do 2x parts of work; the mechanic will do 2*(2x) = 4x parts of work.
The total job equation is
2x + 4x + x = 1,
or
7x = 1,
which implies x = 1/7.
It means that the helper needs 7 hours to do the job alone. ANSWER
Solved.
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