SOLUTION: working together, matt and juan can restock a store's shelves in 2 hours 24 minutes. alone juan needs two hours longer than matt needs. how long does matt need to restock the shelv

Question 207992This question is from textbook algebra demystified
: working together, matt and juan can restock a store's shelves in 2 hours 24 minutes. alone juan needs two hours longer than matt needs. how long does matt need to restock the shelves when working alone This question is from textbook algebra demystified

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
working together, matt and juan can restock a store's shelves in 2 hours 24 minutes.
alone juan needs two hours longer than matt needs.
how long does matt need to restock the shelves when working alone
:
Let x = Matt's time working alone
then
(x+2) = Juan's time alone
:
Let the completed job = 1
:
Change 2 hrs 24 min to hrs: 2 hrs & 24/60 = 2.4 hrs
:
+ = 1
Multiply x(x+2), results:
2.4(x+2) + 2.4x = x(x+2)
:
2.4x + 4.8 + 2.4x = x^2 + 2x
:
4.8x + 4.8 = x^2 + 2x
:
A quadratic equation
0 = x^2 + 2x - 4.8x - 4.8
;
x^2 - 2.8x - 4.8 = 0
Factor
(x - 4)(x + 1.2) = 0
Positive solution
x = 4 hrs, Matt alone
;
:
check solution: (Juan's time = 6 hrs)
+ =
.6 + .4 = 1
RELATED QUESTIONS
working together, matt and juan can restock a store's shelves in 2 hours 24 minutes.... (answered by checkley77)

working together, jamie and Juan can complete a job in 6 hours. It would take Jamie 9... (answered by stanbon)

Working together, Juan and Tom can mow the lawn in 45 minutes. working alone, Tom takes... (answered by josgarithmetic)

if matt and jim can mow a lawn in 3 hours. working alone matt takes 3 times longer than... (answered by checkley79)

Tom and dick working together can perform a task in 2 hours and 24 minutes. Dick and... (answered by ikleyn)

Tom and Dick, working together, can perform a task in 2 hours and 24 minutes. Dick and... (answered by ikleyn)

George can rake a lawn in 5 hours. George and Juan together can rake the lawn in 2 hours. (answered by nerdybill)

George can rake a lawn in 5 hours. George and Juan together can rake the lawn in 2 hours. (answered by richwmiller)

Paul can finish a job in 2 hrs less than John. Working together they can finish it in 2... (answered by mananth)