# Jack usually mows his lawn in 6 hours Marilyn can mow the same yard in 4 hours How much time would it take for them to mow the lawn together?

Dec 26, 2016

Consider how much work can be done in 1 hour.

$\frac{1}{4} + \frac{1}{6} = \frac{1}{x}$

$\frac{6 x + 4 x}{24 x} = \frac{24}{24 x}$

$10 x = 24$

$x = 2.4$

Then it takes Jack and Merilyn $2.4$ hours to mow the lawn together.

Hopefully this helps!