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Distance is the product of speed and time. Hence, the distance covered by Leika is 12k - 72 miles.

Given that :

  • Speed = 12 miles per hour
  • Run Time = k - 6

Recall :

  • Distance traveled = Speed × time

Distance covered by Leila can be calculated thus :

Distance = 12 × (k - 6)

Distance = 12k - 72

Therefore, the distance covered by Leila is 12k - 72 miles.

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For the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

The given parameters;

  • speed of Leila, v = 12 miles per hour
  • time of motion of Leila = k < 6 hours

The maximum distance that Leila can travel in a time less than 6 hours is calculated as follows;

Distance < speed x time

Distance < 12 mph x 6 hours

Distance < 72 miles

Thus, for the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

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