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