Question 44566
Brian starts walking from point A at 2 mph. One-half hour later, Elliott starts walking from point A 3 1/2 mph follows the same route.
How long will it take Elliott to catch up with Brian?

Brian DATA:
rate=2mph; time= x hours; distance= 2x miles

Elliott DATA:
rate=(7/2)mph; time= x-(1/2) hrs.; distance = (7/2)(x-1/2) miles

EQUATION:
distance = distance
2x=(7/2)x- (7/4)
(8/4)x = 14/4 x = 7/4
-6/4 x = - 7/4
x=7/6 hours = 1 1/6 hours = 1 hr 10min

Cheers,
Stan H.