Complete question :
Abram and Fred leave opposite ends of a bike trail 8.5 miles apart and travel toward each other. Abram is traveling 3mph faster than Fred. Find each of their speeds if they meet after 30 minutes.
Answer:
Fred's speed = 7mph
Abrams speed = 7 + 3 = 10 mph
Explanation:
Given that :
Distance apart = 8.5 miles
Let :
Fred's speed = x
Abram's speed = x + 3
Time they meet = 30 minutes = 0.5 hour
Speed = distance / time
Distance = speed * time.
Fred's distance + Abram's distance = 8.5 miles
(x * 0.5) + (x + 3)*0.5 = 8.5
0.5x + 0.5x + 1.5 = 8.5
x + 1.5 = 8.5
x = 8.5 - 1.5
x = 7 mph
Fred's speed = 7mph
Abrams speed = 7 + 3 = 10 mph