Question

Tay takes two hours to complete a task and

Elle takes three hours to complete the same task .
How long will it take for Tay and Elle to complete the task if they work together?​

Answer 1

1.2 hours

Explanation:

You want to know the time for task completion when Tay and Elle work together if their completion times working separately are 2 and 3 hours, respectively.

Rates

The rates of completion add when they are expressed as tasks per hour.

working together rate = Tay's rate + Elle's rate

working together rate = (1 task)/(2 hours) + (1 task)/(3 hours)

= (1/2 +1/3) task/hour = 5/6 task/hour

The completion time in hours per task is the reciprocal of this:

working together time = 6/5 hours/task = 1.2 hours/task

Tay and Elle can complete the task in 1.2 hours when working together.

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