Question 1030790
Working together, Aaron and Rosa can mow the lawn around the local library in 3 hours. Working alone Aaron can mow the lawn in 5 hours. Write and solve an equation to determine how long it would take Rosa to mow by herself.


Working alone Aaron can mow the lawn in 5 hours
Aaron does 1/5 of the job in 1 hour

Working alone rosa can mow the lawn in x  hours
Rosa does 1/x of the job in 1 hour

Working together, Aaron and Rosa can mow the lawn around the local library in 3 hours. 
They do 1/3 of the job in 1 hour

1/5 + 1/x = 1/3

1/x = 1/3 -1/5

1/x = 2/5

x= 5/2

Working alone Aaron can mow the lawn in 2 hours 30 minutes