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1999 AMC 8

Problem 4

Problem 4 · 1999 AMC 8 Easy
Ratios, Rates & Proportions graph-reading
Figure for AMC 8 1999 Problem 4
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Answer: A — About 15 miles.
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Hint 1 of 2
The word "more" means a gap, and a gap on a graph is a vertical distance. Go to Hours = 4 and look at how far apart the two lines sit there.
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Hint 2 of 2
Read each line's height at the 4-hour line, then subtract β€” you don't need the actual mileages anywhere else.
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Approach: the 'how much more' is the vertical gap at 4 hours
  1. Slide up the vertical line at Hours = 4. Alberto's line is at about 60 miles, Bjorn's at about 45.
  2. "How many more" is the gap between them: 60 βˆ’ 45 = 15 miles.
  3. Reading tip you'll reuse: a difference question on a graph is always a vertical gap at one chosen x-value β€” find that x, then measure straight up between the curves. Steeper line = faster rider, which is why Alberto pulls ahead.
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