SOLUTION: I keep getting this wrong, can someone help me, please? I would be grateful. Thanks so much. Twin​ brothers, Andy and​ Brian, can mow their​ grandparent's lawn together

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Question 1138808: I keep getting this wrong, can someone help me, please? I would be grateful. Thanks so much.
Twin​ brothers, Andy and​ Brian, can mow their​ grandparent's lawn together in
60 minutes. Brian could mow the lawn by himself in 22 minutes more than it would take Andy. How long would it take each person to mow the lawn​ alone?
Andy______ Brian_______

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Twin​ brothers, Andy and​ Brian, can mow their​ grandparent's lawn together in
60 minutes. Brian could mow the lawn by himself in 22 minutes more than it would take Andy. How long would it take each person to mow the lawn​ alone?
Andy and​ Brian, can mow lawn together in 60 minutes.

They mow 1/60 of the job in 1 minute
Let andy take x minutes to mow the lawn alone
Andy does 1/x of the job in 1 minute
Brian will take x+22 minutes to mow the lawn alone
Brian will do 1/(x+22) of the job in 1 minute

1%2Fx+%2B+1%2F%28x%2B22%29+=+1%2F60
%28x%2B22%2Bx%29%2F%28x%28x%2B22%29%29+=1%2F60


120x + 1320 = x^2 + 22x
x^2 -98x-1320 =0
x2 - 98x - 1320 = 0
Roots: 110, -12
Ignore negative value
x= 110 minutes--------Andy's time alone
Add 22 to Andy's time to get Brian's time