Problema Solution
Ryan left the science museum and drove south. Gabriella left three hours later driving 42 km/h faster in an effort to catch up to him. After 2 hours Gabriella finally caught up. Find Ryan's average speed
Answer provided by our tutors
let
v = Ryan's average speed
t = the time of the travel of Ryan
v + 42 = Gabriella's average speed
t - 3 = the time of the travel of Gabriella
After 2 hours Gabriella finally caught up means
t - 3 = 2
t = 5 hour
Since the both traveled the same distance and distance = speed*time we have
v*t = (v + 42)(t - 3)
5v = 2(v + 42)
by solving we find
v = 28 km/h
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Ryan's average speed was 28 km/h.