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?
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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*(1/2)+(x-(1/2))*(5/6)=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