Andrew M. answered • 04/16/15

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Let S = Speed of the scooter and B = Speed of bicycle

Note that (miles/hour)(hours) = miles so find the distance by multuplying the spped by the time travelled

We have two equations:

S = B+10

3S + 5.5B <= 285

Substitute B+10 in place of S in 2nd equation

3(B+10) + 5.5B <= 285

3B + 30 + 5.5B <= 285

8.5B <= 285-30

8.5B <= 255

Divide out the coefficient giving

(8.5B)/8.5 <= 255/8.5

B <= 30

S = B+10 so

S <= 40

Scooter max 40 mph

Bicycle max 30 mph