Question

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?

Answer 1

2.4 hours or 2 hours and 24 minutes

Explanation:

Jack mows 1/6 of the lawn per hour while Marilyn mows 1/4 of the lawn together. Adding up those rates yields in their combined mowing rate:

`R = (1)/(6)+ (1)/(4)\\R=(10)/(24)`

The time required for them to mow the entire lawn is:

`t = (1)/(R)\\t = (1*24)/(10)\\ t=2.4\ hours`

It would take them both 2.4 hours to mow the lawn together.