Jack usually mows his lawn in 6 hours. Marilyn can mow the same lawn in 7 hours. How long would it take if they were both working together?
Jack's rate = lawn/6
Marilyn's rate = lawn/7
combined rate = lawn/6 + lawn/7 = 13lawn/42
combined time = lawn/(13lawn/42) = 42/13 or 3.23 hours
it would take about 2 hours and 14 minutes.
To find out how long it would take for Jack and Marilyn to mow the lawn together, we need to determine their combined mowing rate.
First, let's find out how much of the lawn each person can mow in one hour. Jack can mow 1/6th of the lawn in one hour, while Marilyn can mow 1/7th of the lawn in one hour.
To find their combined mowing rate, we add the rates together:
1/6 + 1/7 = 13/42
This means that together, Jack and Marilyn can mow 13/42nd of the lawn in one hour.
To find out how long it would take for them to mow the entire lawn together, we need to take the reciprocal of their combined mowing rate.
Reciprocal of 13/42 = 42/13
Therefore, it will take them approximately 3.23 hours (rounded to two decimal places) to mow the lawn together.