Manuel runs a 100-meter race. 6 seconds after the race started Manuel is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Manuel notices that he is 85 meters from the starting line 11 seconds after the race started. Suppose Manuel runs for an additional z seconds after reaching his max speed... What is Manuel's distance from the starting line 6+z seconds after the race started? What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
Unitary Method
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Manuel runs a 100-meter race. 6 seconds after the race started Manuel is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Manuel notices that he is 85 meters from the starting line 11 seconds after the race started.
Suppose Manuel runs for an additional z seconds after reaching his max speed...
What is Manuel's distance from the starting line 6+z seconds after the race started?
What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
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