Question

It takes $1.5$ hours for Tim to mow the lawn. Linda can mow the same lawn in $2$ hours. How long will it take John and Linda, work together, to mow the lawn?

Answer 1

Work done By Tim in 1 Hour $=\frac{W}{1.5}$

Work done By Linda in 1 Hour $=\frac{W}{2}$

when they work together

$\Rightarrow \frac{W}{1.5}+\frac{W}{2}=\frac{W}{T}$

where $T$ is the Time taken by both to complete work Together

$\Rightarrow \frac{1}{1.5}+\frac{1}{2}=\frac{1}{T}$

$\Rightarrow T=\frac{6}{7}hrs$