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It takes Darryl six hours to mop a warehouse. Castel can mop the same warehouse in four hours. How long would it take them to mop the warehouse if they worked together?

Answer :

Final answer:

Darryl and Castel will mop the warehouse together in approximately 2.4 hours. This result was achieved by finding out their mopping rates per hour and adding them up.

Explanation:

To solve this problem, we can use the concept of rates. We need to find out how much of the warehouse Darryl and Castel can mop per hour.

Darryl can mop the warehouse in 6 hours. So, Darryl's rate of work is 1 warehouse/6 hours, which is about 0.167 warehouse per hour.

Castel can mop the warehouse in 4 hours. So, Castel's rate of work is 1 warehouse/4 hours, which is about 0.25 warehouse per hour.

When Darryl and Castel work together, their rates of working add up. Therefore, if they work together their combined rate is 0.167 warehouse/hour + 0.25 warehouse/hour = 0.417 warehouse per hour.

To find out how long it would take them to mop the warehouse if they worked together, we would take the reciprocal of this rate. Therefore, 1 / 0.417 = about 2.4 hours.

So, if Darryl and Castel work together, they can mop the warehouse in approximately 2.4 hours.

Learn more about Work Rate here:

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