runner and a cyclist compete in a race over a straight course 20 km long. The runner runs at a steady speed of 10 m/s toward the finish line. The cyclist zips at a speed of 23 m/s toward the finish line for 12 km but upon seeing that he is already far ahead of the runner, he decides to stop and wait for the runner to catch up to him. The runner eventually reaches the cyclist and continues moving toward the finish line. The cyclist waits for a while after the runner passes and then cycles toward the finish line again at 23m/s. Both the cyclist and the runner
A runner and a cyclist compete in a race over a straight course 20 km long. The runner runs at a steady speed of 10 m/s toward the finish line. The cyclist zips at a speed of 23 m/s toward the finish line for 12 km but upon seeing that he is already far ahead of the runner, he decides to stop and wait for the runner to catch up to him. The runner eventually reaches the cyclist and continues moving toward the finish line. The cyclist waits for a while after the runner passes and then cycles toward the finish line again at 23m/s.
Both the cyclist and the runner cross the finish line in the exact same instant. Assume both of them, when moving, move steadily at their respective speeds.
(a) How far is the runner from the finish line when the cyclist resumes the race?
(b) For how long in time was the cyclist stationery?
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