SOLUTION: brian is walking alone a trail at an average rate of 3 miles per hour. carol is bicycling along the same trail in the same direction at an average rate of 9 miles per hour. at 12:0

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Question 1177602: brian is walking alone a trail at an average rate of 3 miles per hour. carol is bicycling along the same trail in the same direction at an average rate of 9 miles per hour. at 12:00 noon brian is 5 miles ahead of carol. if brian and carol maintain these rates, at what time will carol overtake brian?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%289-3%29%2Ax=5
x=5%2F6
x=50%2F60fiftyminutes;

Carol reaches Brian at 12:50 PM.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
brian is walking highlight%28cross%28alone%29%29 ALONG a trail at an average rate of 3 miles per hour.
carol is bicycling along the same trail in the same direction at an average rate of 9 miles per hour.
at 12:00 noon brian is 5 miles ahead of carol. if brian and carol maintain these rates,
at what time will carol overtake brian?
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At 12:00, Brian is 5 miles ahead of Carol.


Their relative speed is  9-3 = 6 miles per hour, i.e. Carol decreases the distance between them at the rate of 6 miles per hour,

or 1 miles every 10 minutes.


THEREFORE, Carol will overtake Brian in 50 minutes, at 12:45.

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