A scooter travels 10 miles per hour faster than an electric bicycle. The scooter traveled for 3 hours, and the bicycle traveled 5 1/2 hours. Altogether, the scooter and bicycle traveled no more than 285 miles. Find the maximum speed of each.

Bicycle: 30 miles/hour

Scooter: 40 miles/hour

Step-by-step explanation:

Let the speed of the bicycle be s,

Then the speed of the scooter is:

s + 10

Distance = speed × time

Distances covered:

Bicycle: (s)(5½) = 5.5s

Scooter: (s + 10)(3) = 3s + 30

Total:

5.5s + 3s + 30

8.5s + 30

8.5s + 30《285

8.5s《255

s《30

s + 10《40

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)