Question 806577
Stan and Hilda can mow a lawn in 40 minutes if they work together. If Stan takes twice as long to mow the lawn as Hilda when working alone, how long does it take each to move the lawn alone?


Let hild take x hours
so she does 1/x of the job in 1 hour

Stan does the job in 2x hours

so he does 1/2x of the job in 1 hour

together they do the job in 40/60 - 2/3 hours

so they do 3/2 of the job in 1 hour

1/x + 1/2x = 3/2

multiply equation by 2x

2+1=3x
3=3x
x=1

Hild can do the job alone in 1 hour

stan in 2 hours