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 lower runner.Determine how long it

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Question 402028: 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 lower runner.Determine how long it will be before the faster runner is 3/4 mile ahead of the slower runner.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 lower runner.
Determine how long it will be before the faster runner is 3/4 mile ahead of the slower runner.
:
The relative speed between the runners is 2 mph therefore the problem is:
"How long will it take to travel 3/4 of a mile at 2 mph?" (use .75 mi)
Time = dist/speed
:
t = .75%2F2
t = .375 hrs which is .375(60) = 22.5 min
:
Response to student comment, we will do this without decimals
t = %283%2F4%29%2F2
invert the divisor and multiply
t = 3%2F4 * 1%2F2
t = 3%2F8