You can mow your whole lawn in 45 minutes, and your neighbor can mow your whole lawn in 30 minutes. How long would it take you to mow the lawn together? Clearly show and explain each step for full credit.

Question

Using rational applications

A. Write an equation that could be used to solve this problem.



B. Solve the equation, showing each step of your work. Find the amount of time it would take to mow the lawn together.

C. Check your work .

Answer 1

figure how much lawn each person can mow in one minute.

you: 1/45
neighbor: 1/30

together you can mow
1/45 + 1/30 = 2/90 + 3/90 = 5/90 = 1/18

So, you can mow it in 18 minutes together

1/x = 1/45 + 1/30