A scooter travel 10 miles per hour faster than an electric bicycle. The scooter traveled for 3 hours and the bicycle traveled for 5.5 hours. The scooter and bicycle traveled no more than 285 miles.

Answer 1

scooter = s

electric bicycle = b

s = 10+b

d = rt = distance = rate of speed times time = 285 = 3(10+b) + 5.5b = 30 + 8.5b

8.5b = 255

b = 255/8.5 = 30 mph for the electric bike speed

s = 40 mph for the scooter speed

but given the problem "no more than 285" the 30 and 40 mph are maximum speeds,

10 < s </=40

0 < b < 30