Maths Olympiad Prep

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, 2015

Algebra Difficulty 1.3 Junior Find the answer Canada

Jitka hiked a trail. After hiking 60% of the length of the trail, she had 8 km left to go. What is the length of the trail?

Pick one

Solution

After Jitka hiked 60% of the trail, 100%60%=40%100\% - 60\% = 40\% of the trail was left.

From the given information, 40% of the length of the trail corresponds to 8 km.

This means that 10% of the trail corresponds to one-quarter of 8 km, or 2 km.

Since 10% of the trail has length 2 km, then the total length of the trail is 102=2010 \cdot 2 = 20 km.

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