Problem 7 · 2019 Math Kangaroo
Medium
Logic & Word Problems
work-backward
Lothar finishes a race ahead of Manfred. Victor finishes after Jan, Manfred finishes ahead of Jan, and Eddy finishes ahead of Victor. Which of the five finishes the race last?
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Answer: A — Victor
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Hint 1 of 2
Write each clue as 'X before Y' and chain them.
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Hint 2 of 2
The last finisher is the one nobody finishes behind.
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Approach: order the chain of finishing positions
- Lothar before Manfred, Manfred before Jan, and Jan before Victor give the order L, M, J, V.
- Eddy finishes before Victor, so Eddy is also ahead of Victor.
- No one finishes after Victor, so Victor is last.
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