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A man working alone can do a job in 3 hours. His son can do the same job in 2 hours. How many hours will it take for the two of them together to finish the same job?
Mathematics
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4 stepsDetermine the rate of each pipe.
The first pipe empties the tank in 30 minutes, so its rate is tank per minute.
The second pipe empties the tank in 20 minutes, so its rate is tank per minute.Calculate the combined rate of both pipes.
When both pipes are open, their rates add up:
To add these fractions, find a common denominator, which is 60:
This means that together, the pipes can empty the entire tank in 12 minutes.
Determine the amount of the tank that needs to be emptied.
The tank is full, so the amount to be emptied is of the tank's volume.
Calculate the time required to empty the specified portion of the tank.
Time =
The time taken to empty of the tank is 8 minutes.
The final answer is .
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