SOLUTION: Working together, Juan and Tom can mow the lawn in 45 minutes. working alone, Tom takes 17 minutes longer to mow the lawn than Juan would take working alone. How long would it t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, Juan and Tom can mow the lawn in 45 minutes. working alone, Tom takes 17 minutes longer to mow the lawn than Juan would take working alone. How long would it t      Log On


   

Question 967915: Working together, Juan and Tom can mow the lawn in 45 minutes. working alone, Tom takes 17 minutes longer to mow the lawn than Juan would take working alone.
How long would it take Juan , working alone, to mow the lawn? Round to the nearest minute
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
RATES in LAWN per MINUTES
Juan, 1/x
Tom, 1/(x+17)
Together,1/45

Rate for working together is sum of the individual rates.
1%2Fx%2B1%2F%28x%2B17%29=1%2F45