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Two workers, one who can complete a job in 12 hours and another who can complete the same job in 8 hours, work together. How long will it take them to complete the job?
Mathematics
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Step-by-step solution
3 stepsDetermine the individual work rates.
The rate of work is the reciprocal of the time taken to complete the job.
Worker 1's rate:Worker 2's rate:
Calculate their combined work rate.
When working together, their rates add up.
To add these fractions, find a common denominator, which is 24.
Calculate the total time taken to complete the job together.
The total time is the reciprocal of the combined rate.
To express this in hours and minutes:
Convert the fractional part to minutes:
So, the total time is 4 hours and 48 minutes.
The total time it will take them to finish the job altogether is .
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