Problema Solution

Sandra can encode the whole manuscript in 6 hours. If her daughter helps, they get the job done in 5 1/2 hours. How long would it take her daughter to do the job by herself?

Answer provided by our tutors

Let 'x' represent the hours that her daughter needs to do the job alone.

Sandra's rate per hour is: 1/6 manuscript per hour

The together rate is: 1/5.5 manuscript per hour (5 1/2 = 5.5)

Sandra's daughter rate is: 1/x manuscripts per hour

1/6 + 1/x = 1/5.5

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click here to see the equation solved for x

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x = 66 hr

Sandra's daughter needs 66 hours to do the job by herself.