SOLUTION: Danny can finish a job in 10 days. Together, Miguel and Danny can finish the same job in 6 days. How many days will it take Miguel to finish the job alone?
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-> SOLUTION: Danny can finish a job in 10 days. Together, Miguel and Danny can finish the same job in 6 days. How many days will it take Miguel to finish the job alone?
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Question 1062659: Danny can finish a job in 10 days. Together, Miguel and Danny can finish the same job in 6 days. How many days will it take Miguel to finish the job alone? Found 2 solutions by rothauserc, ikleyn:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Let x be the number of days Miguel takes to finish the job alone, then
:
1/10) + (1/x) = 1/6
:
Note that the above equation represents the contribution of Miguel and Danny working together
:
The lowest common denominator is 30x
:
(3x + 30) / 30x = 5x / 30x
:
multiply both sides by 30x
:
3x + 30 = 5x
:
2x = 30
:
x = 15
:
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it takes Miguel 15 days to complete the job alone
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