SOLUTION: Two companies working together can clear a parcel of land in 9 hours. Working alone it would take Company A 7 hours longer to clear the land than it would Company B. How long would

Question 739940: Two companies working together can clear a parcel of land in 9 hours. Working alone it would take Company A 7 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Two companies working together can clear a parcel of land in 9 hours. Working alone it would take Company A 7 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone?
***
x=amt of time company B can clear the land alone
1/x= Its work rate
x+7=amt of time company A can clear the land alone
1/(x+7)=Its work rate
9 hrs=amt of time they can clear the land working together
1/9=their work rate
..
sum of individual work rates=work rate working together

LCD:9x(x+7)

solve for x using quadratic formula
x≈-4.16 (reject, x>0)
or
x≈15.16
amt of time company B can clear the land alone≈15.16 hrs

RELATED QUESTIONS
Two companies working together can clear a parcel of land in 27 hours . Working alone it... (answered by greenestamps,richwmiller)

two companies working together can clear a parcel of land in 9 hours. Working alone, it... (answered by Jc0110,MathTherapy)

Two companies working together can clear a parcel of land in 9 hours. Working alone, it... (answered by josgarithmetic,solver91311)

Two companies working together can clear a parcel of land in 13 hours. Working alone, it... (answered by josmiceli)

Two companies working together can clear a parcel of land in 8 hours. Working alone, it... (answered by greenestamps,josgarithmetic)

Two companies working together can clear a parcel of land in 13 hours. Working alone, it (answered by VFBundy,MathTherapy)

Two companies working together can clear a parcel of land in 15 hours. Working alone, it (answered by ikleyn,Alan3354)

Two companies working together can clear a parcel of land in 29 hours. Working alone, it (answered by greenestamps)

Two companies working together can clear a parcel of land in 18 hours. Working alone, it (answered by greenestamps)