Problem 17 · 2019 Math Kangaroo
Hard
Fractions, Decimals & Percents
proportionfraction-to-decimal
A triathlon consists of three disciplines: swimming, running and cycling. The cycle route is three quarters of the entire distance, the running route is one fifth of the entire distance and the swimming route is 2 km long. How long is the whole distance of the triathlon, in km?
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Answer: D — 40
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Hint 1 of 2
The swim is the part of the whole left after the cycle and run fractions.
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Hint 2 of 2
Find 1 − 3/4 − 1/5 of the distance; that fraction equals 2 km.
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Approach: the leftover fraction is the swim
- Cycle + run = 3/4 + 1/5 = 19/20 of the distance.
- So the swim is 1/20 of the distance, and that equals 2 km.
- The whole distance is 20 × 2 = 40 km.
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