12. 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
SolUtion
D

Since Kenny covers three times the distance with each downhill jump as he does with each uphill jump, he will make three times as many jumps going uphill as he does covering the same distance going downhill. The question tells us that Kenny makes 2024 jumps in total and so $\frac{3}{4}$ of these, namely 1518 jumps, will be uphill. Now, since Kenny covers 1 metre per uphill jump, the distance he jumps uphill is 1518 metres. Therefore the total distance Kenny jumps is $2 \times 1518$ metres, or 3036 metres.