SOLUTION: Jack usually mows his lawn in 5 hours, Marilyn can mow the same lawn in 4 hours. How much time would it take for them to mow the lawn together. They could mow the lawn in _?_ h

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Jack usually mows his lawn in 5 hours, Marilyn can mow the same lawn in 4 hours. How much time would it take for them to mow the lawn together. They could mow the lawn in _?_ h      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 347781: Jack usually mows his lawn in 5 hours, Marilyn can mow the same lawn in 4 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.

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jack usually mows his lawn in 5 hours, Marilyn can mow the same lawn in 4 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.
---
Jack rate: 1/5 job/hr
Marilyn rate: 1/4 job/hr
-----
Together rate: 1/x job/hr
-----
Equation:
rate + rate = together rate
1/5 + 1/4 = 1/x
---
Multiply thru 20x to get:
4x + 5x = 20
---
9x = 20
x = 20/9
x = 2 2/9 hrs (time to do the job together)
================================================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of mowing to get the rate mowing together
Jack's rate: 1 lawn/5 hrs
Marilyn's rate: 1 lawn/4 hrs
Rate working together = 1 lawn/x hrs
1%2F5+%2B+1%2F4+=+1%2Fx
multiply both sides by 20x
4x+%2B+5x+=+20
9x+=+20
x+=+2.222 hrs
This is about 2 hrs and 13 min