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