SOLUTION: Jack usually mows his lawn in 7 hours. Marilyn can mow the same yard in 6 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in ___

SOLUTION: Jack usually mows his lawn in 7 hours. Marilyn can mow the same yard in 6 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in ____

Question 629092: Jack usually mows his lawn in 7 hours. Marilyn can mow the same yard in 6 hours. How much time would it take for them to mow the lawn together?
They could mow the lawn in _____ hours if they worked together. (simplify your answer)
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x/7+x/6=1
6x/42+7x/42=1
13x=42
x=42/13
x=3.23 hrs or about 3 hrs 14 minutes

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working
( 1 lawn / 7 hrs ) + ( 1 lawn / 6 hrs ) = ( 1 lawn / x hrs )

Multiply both sides by

They could mow the lawn in 3 hours 4 minutes and 17 seconds if they worked together.