SOLUTION: Jack mows his lawn in six hours, Mary takes seven hours to mow the lawn. If they work together how long would it take them?

Question 424136: Jack mows his lawn in six hours, Mary takes seven hours to mow the lawn. If they work together how long would it take them?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jack mows his lawn in six hours, Mary takes seven hours to mow the lawn.
If they work together how long would it take them?
:
Let t = time required if they both mow; (and each has a lawn mower)
Let the completed job = 1 (a mowed lawn)
:
= = 1
multiply by 42, to clear the denominators, results:
7t + 6t = 42
13t = 42
t =
t = 3.23 hrs, or 3 + .23(60) ~ 3 hrs 14 min
:
:
Check solution
= =
.54 + .46 = 1; confirms our solution of t = 3.23 hrs
RELATED QUESTIONS
Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 7 hours. how much... (answered by phd,edjones)

Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much... (answered by stanbon)

Jack usually mows his lawn in 5 hours. Marilyn mows the same size lawn in 3 hours. How... (answered by dragonwalker)

jack usually mows his lawn in 4 hours, Marilyn can mow the same lawn in 3 hours, how long (answered by checkley77)

jack mows the lawn in 7 hours and susie can mow the same lawn in 4 hours, how long would... (answered by Alan3354,RAY100)

Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much... (answered by edjones,richwmiller,solver91311)

Jack usually mows his lawn in 5 hours. Marilyn can mow the same lawn is 3 hours. How much (answered by solver91311)

Ted can mow a lawn in 5 hours while eliot can mow the same lawn in 8 hours. How long will (answered by josmiceli)

Jack usually mows his lawn in 5 hours, Marilyn can mow the same lawn in 4 hours. How much (answered by stanbon,josmiceli)