SOLUTION: Two cyclists ride along a circular path whose circumference is 10 km. The two cyclists start at the same time, from diametrically opposite positions. The first cyclist goes at a co

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Question 495276: Two cyclists ride along a circular path whose circumference is 10 km. The two cyclists start at the same time, from diametrically opposite positions. The first cyclist goes at a constant speed of 30 km/h in the clockwise direction, while the second goes at a constant speed of 20 km/h in the counterclockwise direction. They both cycle for 1 hour. How many times do they meet?
choose the answer and explain the reason to choose your response
3
4
6
5

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two cyclists ride along a circular path whose circumference is 10 km.
The two cyclists start at the same time, from diametrically opposite positions.
The first cyclist goes at a constant speed of 30 km/h in the clockwise direction, while the second goes at a constant speed of 20 km/h in the counterclockwise direction.
They both cycle for 1 hour. How many times do they meet?
:
Find how long it will take them to meet the 1st time (t)
30t + 20t = 10
50t = 10
t = 10%2F50
t = .2 hrs to meet the 1st time
then
1%2F.2 = 5 times they will meet in 1 hr