SOLUTION: I can shovel my driveway all by myself in two hours. My wife can shovel it all by herself in three hours. I starts at 8AM, and at 8:30 my wife comes out to help. At what time will

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: I can shovel my driveway all by myself in two hours. My wife can shovel it all by herself in three hours. I starts at 8AM, and at 8:30 my wife comes out to help. At what time will       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 912610: I can shovel my driveway all by myself in two hours. My wife can shovel it all by herself in three hours. I starts at 8AM, and at 8:30 my wife comes out to help. At what time will the drivewat be shoveled?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I can shovel my driveway all by myself in two hours. My wife can shovel it all by herself in three hours. I starts at 8AM, and at 8:30 my wife comes out to help. At what time will the drivewat be shoveled?
***
1/2=work rate of husband
1/3=work rate of wife
1/2+1/3=5/6=work rate working together
let x=amt of time required to finish the job
..
work by husband+work by working together=100% of job
x%2A%281%2F2%29%2B%28x-%281%2F2%29%29%2A%285%2F6%29=1
lcd:6
3x+5x-5/2=6
8x=6+5/2=17/2
x=17/16 hr=63.75 min
At what time will the driveway be shoveled? 9:03 AM