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
