In an 800 m race, B's course is only 725 m because A gives B a start. What start (in meters) does B get from A?
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A22 m
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B35 m
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C45 m
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D75 m
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ENone of these
Answer
Correct Answer: 75 m
Explanation
Introduction / Context:When a start is granted, the slower runner covers a shorter distance than the official race length. The size of the start equals the difference between the official length and the reduced course.
Given Data / Assumptions:
- Official race length L = 800 m.
- B's course length = 725 m.
Concept / Approach:Start s = L - B's course length.
Step-by-Step Solution: s = 800 - 725 = 75 m
Verification / Alternative check:Interpretation check: with a 75 m head start, B needs 725 m while A runs the full 800 m. This is the standard meaning of a start in distance terms.
Why Other Options Are Wrong:22, 35, 45 m are not equal to the required difference of 75 m; they would imply a different reduced course length for B.
Common Pitfalls:Dividing or scaling by speeds despite not being asked; confusing with time handicaps; arithmetic mistakes in subtraction.
Final Answer:75 m