A car leaves regularly from point A for point B every 10 minutes. The distance between A and B is 60 km. The cars travel at a speed of 60 km/hr.
Draw graphs of the path versus time for the cars. Use these graphs to find the number of cars that a man driving from B to A will meet en route if he starts from B simultaneously with one of the cars leaving A. The car from B travels at a speed of 60 km/hr.
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Assume that the man left B one hour after all the other cars set off. The motion of his car is depicted by the straight line BC. The lines 2, 3, 4, etc. show the motion of the cars coming from A in 50, 40, 30, etc. minutes before the man has set off in his car.
The lines 8, 9, 10, etc., show the motion of the cars leaving A after 10, 20, 30, etc. minutes after the man has departed from B. Obviously, the number of the cars which the man meets en route will be equal to the number of the points of intersection with the straight line BC.