Beatrice participates in professional triathlons. She runs 2 mph faster than her friend Joe, a weekend athlete. If they each run 12 mi, Beatrice finishes 30 min ahead of Joe. Determine how fast each person runs.
Let Joe's speed = S Beatrice's speed =S + 2 Let his time = T Her time = T - 1/2
S * T=12, (S+2) * (T - 1/2)=12, solve for S, T
S = 6 mph - Joe's speed T = 2 hours - Joe's time 6 + 2 = 8 mph - Beatrice's speed 2 - 1/2 =1 1/2 hours - Beatrice's time
