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UKMT Grey Kangaroo, 2024

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Kenny the kangaroo jumps up a mountain and then jumps back down along the same route. He covers three times the distance with each downhill jump as he does with each uphill jump. Going uphill, he covers 1 metre per jump. In total, Kenny makes 2024 jumps. What is the total distance, in metres, that Kenny jumps?

(A) $506$ (B) $1012$ (C) $2024$ (D) $3036$ (E) $4048$

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