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I walk at 4 kilometers per hour and run at 6 kilometers per hour. I find I can save 3 minutes and 45 seconds by running instead of walking to school in the morning. How far do I live from school?

Sagot :

Final answer:

To find the distance to school, calculate the time difference saved by running and use it to determine the distance using the given speeds. In this case, the student lives 3 km away from school.


Explanation:

To find the distance from school:

  1. First, determine the time difference saved by running: 3 minutes 45 seconds = ((3 60) + 45) seconds = 225 seconds.
  2. Next, calculate the distance using the time and speeds: Let the distance to school be D km.
  3. Walking time = D / 4 hours = D 60 / 4 minutes = 15 D minutes.
  4. Running time = D / 6 hours = D 60 / 6 minutes = 10 D minutes.
  5. Equation: 15D - 10*D = 225 seconds.
  6. Solve the equation to find D = 3 km.

Learn more about Distance Calculation here:

https://brainly.com/question/43665923


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