Problem 2 · 2017 Math Kangaroo
Medium
Ratios, Rates & Proportions
proportionratio
Many model railways use the H0-scale 1:87. For his railway, Benjamin owns a 2 cm high model of his brother in H0-scale. How tall is his brother in reality?
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Answer: A — 1.74 m
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Hint 1 of 2
The scale 1:87 means every real centimetre is shrunk 87 times in the model.
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Hint 2 of 2
Multiply the model height by 87 to undo the shrinking, then convert to metres.
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Approach: scale up by the ratio
- The model is 2 cm tall and the scale is 1:87, so the real height is 2 x 87 = 174 cm.
- 174 cm = 1.74 m.
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