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) (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
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
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