Question 1138808
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/x + 1/(x+22) = 1/60}}}

{{{(x+22+x)/(x(x+22)) =1/60}}}



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