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Flyball is a relay race for dogs. In each of the four legs of the relay, a dog jumps over hurdles, retrieves a ball from a fly box, and runs back over the hurdles. The distance of the relay race is 51 feet. The collie starts the course 0.3 second before the sheepdog. The collie is running 23.4 feet per second while the sheepdog is running 24 feet per second.

a. Let t represent the time (in seconds) it takes the collie to un the last leg . Write and solve an equation to find the number of seconds after which the sheepdog would catch up with the collie.

Respuesta :

It would take 11.7 seconds for the sheepdog to catch up with the collie.

To determine the number of seconds after which the sheepdog would catch up with the collie, knowing that the distance of the relay race is 51 feet, and the collie starts the course 0.3 second before the sheepdog, and the collie is running 23.4 feet per second, while the sheepdog is running 24 feet per second, the following calculation must be performed:

  • (23.4 x 0.3) = 7.02
  • 24 - 23.4 = 0.6
  • 7.02 + 23.4X = Y
  • 24X = Y
  • 7.02 / 0.6 = 11.7
  • 7.02 + 23.4 x 11.7 = 280.8
  • 24 x 11.7 = 280.8

Therefore, it would take 11.7 seconds for the sheepdog to catch up with the collie.

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