On a circular ground of 42 m diameter, Kenny and Gary start simultaneously from the same starting point. Kenny runs back and forth along the diameter and Gary runs along the circumference, both at a speed of 6 m/s. What will be distance between them after 22 seconds?
Question
On a circular ground of 42 m diameter, Kenny and Gary start simultaneously from the same starting point. Kenny runs back and forth along the diameter and Gary runs along the circumference, both at a speed of 6 m/s. What will be distance between them after 22 seconds?
Solution
To solve this problem, we first need to understand the distances that both Kenny and Gary will cover in 22 seconds.
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Calculate the distance covered by both: They are both running at a speed of 6 m/s for 22 seconds. So, the distance covered by both of them is Speed * Time = 6 m/s * 22 s = 132 m.
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Calculate the circumference of the circular ground: The diameter of the ground is 42 m, so the radius is 42 m / 2 = 21 m. The formula for the circumference of a circle is 2 * π * radius. So, the circumference of the ground is 2 * π * 21 m = 132 m.
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Determine the position of Gary: Gary is running along the circumference. After 22 seconds, he has covered the entire circumference and is back at the starting point.
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Determine the position of Kenny: Kenny is running back and forth along the diameter. After covering 132 m, he has run the diameter (42 m) back and forth 3 times (126 m) and is 6 m into his fourth run. Since he is running back and forth, he is 6 m from the starting point on the fourth run.
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Calculate the distance between Kenny and Gary: Since Gary is at the starting point and Kenny is 6 m away, the distance between them is 6 m.
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