SOLUTION: Pleases help me to solve this equation:
If two people working together can do a job in three hours how long will it take the slower person to do the same job if one of them is 3
Question 1174933: Pleases help me to solve this equation:
If two people working together can do a job in three hours how long will it take the slower person to do the same job if one of them is 3 times as fast as the other Answer by greenestamps(13195) (Show Source):
x = # of hours the faster person takes to do the job
3x = # of hours the slower person takes
1/x = fraction of the job the faster person does in 1 hour
1/3x = fraction of the job the slower person does in 1 hour
1/3 = fraction of the job they do together in 1 hour
Then
Multiply by the LCD 3x to clear fractions
The faster person takes x=4 hours to do the job alone, so the slower person takes 3x=12 hours.
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Informally, using logical reasoning....
Since the faster person works 3 times as fast as the slower person, when working together the faster person does 3/4 of the job and the slower person does 1/4.
Working together, it takes the two of them 3 hours to do the job.
So in 3 hours the slower worker does 1/4 of the job; that means it would take him 4*3=12 hours to do the job alone.
