The length of the rectangular garden is 600 m, the width is half that. The boy ran around the garden around
The length of the rectangular garden is 600 m, the width is half that. The boy ran around the garden around the perimeter in 10 minutes. How fast was the boy running?
We need to find the speed with which the boy ran through the garden. We know that the speed can be found from the formula: S = V * t => V = S / t where S is the path; V – speed of movement; t – elapsed time. We need to find the distance that the boy ran. We know that the garden is rectangular. Therefore, the distance that the boy ran is calculated as the perimeter of the rectangle: S = P = 2 * (a + b) From the problem statement, we know that the length of the rectangle is a = 600 m, and the width is 2 times less than b = a / 2 = 600 / 2 = 300 m. Consequently, the distance that the boy ran: S = P = 2 * (a + b) = 2 * (600 + 300) = 2 * 900 = 1800 m Then the speed, provided that t = 10 minutes: V = S / t = 1800/10 = 180 m / min.