Question

You can mow your whole lawn in 90 minutes, and your neighbor can mow your lawn in 60 minutes. How long would it take you to mow the whole lawn together? Show each step of your work. ​

Answer 1

$*Question ❓$

You can mow your whole lawn in 90 minutes, and your neighbor can mow your lawn in 60 minutes. How long would it take you to mow the whole lawn together? Show each step of your work.

$Answer→$

Let x=time required to mow the lawn if both work together.

Then both work at the rate of 1/x lawn per min

You works at the rate of 1/90 lawn per min

neighbor works at the rate of 1/60 lawn per min

Then both work at the rate of

• =1/90 + 1/60
• =2/180+3/180
• =5/180
• =1/36 lawn per min

So our equation to solve is:-

1/36=1/x multiply each side by 36x

x=36 min----time it takes both working together

In 36 minutes you mows

• =(1/90) × 36
• =36/90
• =6/15 of the lawn

In 36 minutes neighbour mows

• =(1/60) × 36
• =36/60
• =9/15 of the lawn
• =6/15 + 9/15
• =15/15
• =1 (lawn that is)

Hope it helps you.