Amy and Joey are situated on a circular track 400 feet around. Joey starts running at a rate of 10 feet per second. Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second. How many seconds elapse before Amy passes Joey on the track?

Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

How many seconds elapse before Amy passes Joey on the track?

Joey starts running at v₁ = 10 m/sec

Amy starts running at v₂ = 12 m/sec

we know that d = v [tex]*[/tex] t then t = d/v

Joey will take 400 / 10 = 40 seconds

Amy will take 400 / 12 = 33.33 seconds

To check Joey 10 [tex]*[/tex] 40 = 400

And the Amy 12 [tex]*[/tex] 33.33 = 333.3

That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

Therefore, 12 seconds elapse before Amy passes Joey on the track.

To learn more about arithmetic operations

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