SOLUTION: Working together, Dan and Julio can mow the lawn in 12 minutes. Julio can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each o

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Question 46443This question is from textbook
: Working together, Dan and Julio can mow the lawn in 12 minutes. Julio can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each of them to mow the lawn alone? This question is from textbook

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Julio's time = x-10
Dan's time = x
EQUATION:
1%2Fx%2B1%2F%28x-10%29=1%2F12
x-10%2Bx=%28%28x%29%28x-10%29%29%2F12
2x-10=%28x%5E2-10x%29%2F12
24x-120=x%5E2-10x
x%5E2-34x%2B120=0
Factor:
x=4 and x=30
reject x=4
30-10=20
Hence, one person can do a job in 30 minutes and another person can do the same job is 20 minutes.
Paul.