Answer:
One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.
Explanation:
Distance = rate times time
Both motorcycles have a time of 3. We do not know the rates, but we know that one motorcycle's rate was 8 miles an hour faster. Let's call motorcycle 1's rate x then motorcycle 2's rate must be (x + 3)
Motorcycle 1
d = 3x
Motorcycle 2
d = 3(x +8)
We know that the total distance together is 288
3x + 3(x+8) = 288 Distribute the 3
3x + 3x + 24 = 288 Combine the 3's
6x + 24 = 288 Subtract 24 from both sides of the equation
6x = 264 Divide both sides by 6
x = 44
One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.