Problema Solution
Two bike riders, 175 miles apart, begin traveling toward each other at noon. One travels at 20 miles per hour, the other at 15 miles per hour. Also at noon, a fly begins flying between the riders, staring at the front of the slower bike. The fly travels at 20 miles per hour and can change direction without losing any time. How far will the fly travel before the bicycles meet?
Answer provided by our tutors
First we will calculate the time, t, it takes for the bicycles to meet using the formula distance = speed*time:
20t + 15t = 175
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click here to see the equation solved for t
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t = 5 hr
Since distance = speed*time, the speed of the fly is 20 mph and the time is 5 hours we have:
d = 20*5
d = 100 mi
The fly will travel a distance of 100 miles.