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

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Question 207988: 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
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2.4=x(x+2)/(x+x+2)
2.4=x^2+2x/2x+2
x^2+2x=2.4(2x+2)
x^2+2x=4.8x+4.8
x^2+2x-4.8x-4.8=0
x^2-2.8x-4.8=0
(x-4)(x+1.8)=0
x-4=0
x=4 ans. for Matt working alone.
4+2=6 ans. for Juan working alone.
Proof:
2.4=4*6/(4+6)
2.4=24/10
2.4=2.4