The equation for the parabola would be:
It takes them 1 7/8 hrs to complete the job together.
How:
Fred = 3 hrs
Jason = 5 hrs
1/3x + 1/5x = 1/x
3x x 5x = 15 —> 3x/15 + 5x/15 = 15/15
3x + 5x = 8x —> 8x/15 = 1.875 = 1 7/8 hrs
AC=x, BC=x√3, AB is a hypotenuse (look at the pic below)
x√3>x, consequently ∠B<∠A and we have to find cosB, which is
(x√3)/AB.
<em>Let's find AB:</em>
AB=√(x²+(x√3)²)=√(x²+3x²)=√(4x²)=2x
<em>Thus, cosB is:</em>
cosB=(x√3)/(2x)=
√3/2