Two cyclists initially located within twenty miles apart. Going to the meeting, each
a speed of 10 km / h. At the time of the initial fly off from the front wheel of one cyclist and flies with
speed of 15 km / h for a meeting with the other. Dolatuje to him, turns and flies to meet the first, and then again after
recycled, and so on, until he is crushed between the front wheels of two bicycles. What is the distance to beat
fly?
solution to the problem
This task can be solved in two ways. You can calculate the length of the flight
flies between successive meetings with cyclists and wysumować
infinite series, but a second, much easier way.
Just a note that cyclists will meet after an hour ride, so fly
also has to fly for an hour, and that the years with a constant speed of 15
km / h, within 1 hour fly 15 km.
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