SOLUTION: Amy can mow the lawn by herself in 2 less hours than it takes Bob to mow the lawn by himself. When they work together, it takes them only 6 hours to mow the lawn. How long would
Algebra.Com
Question 739360: Amy can mow the lawn by herself in 2 less hours than it takes Bob to mow the lawn by himself. When they work together, it takes them only 6 hours to mow the lawn. How long would it take each of them to mow the lawn working alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let Bob's rate of mowing = ( 1 lawn mowed ) / ( t hrs )
Amy's rate is ( 1 lawn mowed ) / ( t - 2 hrs )
Add their rates of mowing to get their
rate working together, which is:
( 1 lawn mowed ) / ( 6 hrs )
-------------------------
Multiply both sides by
Use quadratic formula
( approximately )
Bob, working alone mows the lawn in 13 hrs, 5 min
Amy, working alone mows the lawn in 11 hrs 5 min
----------------
check:
OK
RELATED QUESTIONS
It takes Peter 15 minutes longer than Charles to mow the lawn by himself. Together, they (answered by ankor@dixie-net.com)
The JUST-SAY-MOW lawn mowing company consists of two people: Marsha and Bob. If Marsha... (answered by ikleyn)
Katrina can mow the lawn in 2 hours. It takes her brother 3 hours to mow the lawn. When... (answered by stanbon)
By himself, a person can mow his lawn in 60 minutes. If his daughter helps, (answered by fractalier,Boreal)
When Tim and John work together they can mow their entire lawn in 4 hours and 36 minutes. (answered by josmiceli)
It takes a boy 15 minutes longer to mow a lawn than it takes his sister. If they work... (answered by nerdybill)
Gardener A can mow an entire lawn in 1 hour less than gardener B .If they work together... (answered by psbhowmick)
It takes George 1 hour longer to mow the lawn than it takes Henry. Working together,... (answered by palanisamy)
It takes George 1 hour longer to mow the lawn than it takes Henry. Working together,... (answered by ankor@dixie-net.com)