SOLUTION: Two runners A and B are practicing in a round track going in opposite directions. Runner A takes 40 minutes to go once around the track. The two begin at the same time and meet eve

Question 827635: Two runners A and B are practicing in a round track going in opposite directions. Runner A takes 40 minutes to go once around the track. The two begin at the same time and meet every 15 minutes. How long does B take to go once around the track?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two runners A and B are practicing in a round track going in opposite directions. Runner A takes 40 minutes to go once around the track. The two begin at the same time and meet every 15 minutes. How long does B take to go once around the track?
:
Let's assume the track length is 12000 meters
then
12000/40 = 300 m/min is A's speed
A travels 15 * 300 = 4500 meters in 15 min
therefore
B travels 12000 - 4500 = 7500 meters in 15 min
therefore
7500/15 = 500 m/min is B's speed
Find how long to travel 12000 meters at this speed
12000/500 = 24 min for B to travel around the track
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