Running Track Overtaking

Two boys train to run on a 400 m closed track. They both run simultaneously from the same starting track in the same direction. Boy A runs at a constant speed of 5 m/s, and Boy B runs at a constant speed of 3 m/s. At what time does Boy A overtake Boy B for the first time? How far will the boys run in this time?

Final Answer:

t =  200 s
s1 =  1000 m
s2 =  600 m

Step-by-step explanation:

5t=400+3t  5 t=400+3 t  2t=400  t=2400=200  t=200=200 s
s1=5 t=5 200=1000 m
s2=3 t=3 200=600 m



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