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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.

 Feb 26, 2020
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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

 Feb 26, 2020
edited by Guest  Feb 26, 2020

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