Sue's moped travels 8 miles per hour faster than Jared's. Sue travels 69 miles in the same time that it takes Jared to travel 45 miles. Find the speed of each person's moped.

Answer 1

distance = rate x time

distance/rate = time

69/(x+8) = 45/x

69x = 45(x+8)

69x = 45x + 360

24x = 360

x = 15

Sue: 69/(15+8) = 69/23 = 3; she goes 23 mph for 3 hours = 69 miles

Jared: 15 mph for 3 hours = 45 miles