SOLUTION: Working together, Pat, Lindsay and Robin can dig a drainage ditch in 2 3/4 hours. Working alone, Robin can do it in 9 hours, while Pat can do it 1/2 hour faster than Lindsay. How l
Algebra.Com
Question 141266: Working together, Pat, Lindsay and Robin can dig a drainage ditch in 2 3/4 hours. Working alone, Robin can do it in 9 hours, while Pat can do it 1/2 hour faster than Lindsay. How long will it take Lindsay to dig the ditch by herself?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x=Lindsay
(1/9)+[1/(x-1/2)]+(1/x)=1/(11/4)
multiplying by x(x-1/2) __ x(x-1/2)+x+x-1/2=(4/11)x(x-1/2) __ x^2+(3/2)x-1/2=(4/11)(x^2-(1/2)x)
multiplying by 22 __ 22x^2+33x-11=8x^2-4x __ 14x^2+37x-11=0
use quadratic formula to find x
RELATED QUESTIONS
Working together, Pat, Lindsay, and Robin can dig a drainage ditch in 2 hours. Working... (answered by nerdybill)
Working together, Pat, Lindsey, and Robin can dig a drainage ditch in 2 hours. Working... (answered by AnlytcPhil)
Working together, Camry, Kyoko, and Priscilla can dig a drainage ditch in 2.5 hours.... (answered by edjones)
Working together, Ethel, Beryl, and Cora can dig a drainage ditch in 3.5 hours. Working... (answered by scott8148,ankor@dixie-net.com)
Marlo can dig a ditch in 2 hours and his daughter can dig the same size ditch in 4 hours... (answered by ewatrrr)
A man can dig a ditch in 3 hours and his daughter can dig the same size ditch in 5 hours. (answered by checkley79)
Batman and Robin working together can capture the Joker in 3 hours. It takes Robin,... (answered by nerdybill)
Two brothers are digging a drainage ditch for a french drain around their home. The ditch (answered by ptaylor)
Marlo dug a ditch in one hour and his
daughter, Maeryll, can dig the same size ditch in... (answered by Boreal)