Problema Solution
Two Cyclist leave a park and ride in opposite directions, one averaging 9 mph and the other 6 mph. If they have two-way radios with a 5-mile range, for how many minutes will they remain in radio contact?
Answer provided by our tutors
let
v1 = 9 mph the average rate of the first bicycle
v2 = 6 mph the average rate of the second bicycle
d = 5 mi the total distance between them
t = the time of the travel
since speed = distance/time we have distance = speed*time
v1*t + v2*t = d
9t + 6t = 5
by solving we find:
t = 1/3 hr
t = (1/3)*60 min
t = 20 min
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the two cyclist will remain in radio contact for 20 minutes.