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2010 Math Kangaroo

Problem 16

Problem 16 · 2010 Math Kangaroo Medium
Logic & Word Problems proportion

On the playground some children measure the length of the playground in strides. Anni takes 15 strides, Betty 17, Denis 12 and Ivo 14. Who has the longest stride?

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Answer: C — Denis
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Hint 1 of 2
They all cross the same length, so fewer strides means each stride is longer.
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Hint 2 of 2
Find who used the fewest strides.
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Approach: fewest strides means the longest stride
  1. The playground length is fixed, so the longest stride belongs to whoever takes the fewest steps.
  2. Denis takes only 12 strides, the fewest of all.
  3. So Denis has the longest stride.
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