SOLUTION: One runner passes another runner traveling in the same direction on a hiking trail. The faster runner is jogging 2 miles per hour faster than the slower runner. Determine how long
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Question 908937: One runner passes another runner traveling in the same direction on a hiking trail. The faster runner is jogging 2 miles per hour faster than the slower runner. Determine how long it will be before the faster runner is 0.75 miles ahead of the slower runner.
What I have is r+2 would be part of the equation but I haven't figured out how to set up the problem correctly. Found 2 solutions by mananth, jim_thompson5910:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! slow runner rate =x
faster runner rate = x+2
difference in rate = x+2-x=2 mph
d= 0.75
t=d/r
t=0.75/2
t= 0.375 hours
=22.5 minutes
Let's say we start the clock/stopwatch at the moment runner A passes runner B. Put another way, we can think of it as they are both starting at the same time at a starting line in a race. At the starting point, t = 0
Both runners are running for the same length of time (t) according to the time modeling described above. Let t be time in hours.
Distance runner A has ran: D = (r+2)*t = r*t + 2*t
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