To be able to determine the distance covered by the skier at 2/12 minutes, let's first determine his constant rate (speed).
We get,
A skier travels for 4 seconds and covers 72 meters.
[tex]\text{ Constant Rate (Speed) = }\frac{\text{ Distance Traveled}}{\text{ Time}}\text{ = }\frac{\text{ 72 meters}}{4\text{ seconds}}[/tex][tex]\text{ = 18 meter/ second}[/tex]Let's now determine the distance he traveled at 2/12 minutes.
Step 1: First, convert 2/12 minutes into seconds.
[tex]\text{ }\frac{2}{12}\text{ (minutes) x }\frac{60\text{ seconds}}{1\text{ (minute)}}\text{ = }\frac{2}{12}\text{ x 60 seconds = 10 seconds}[/tex]Step 2: Multiply the time in seconds by the constant rate (speed) of the skier.
[tex]\text{ 10 ( seconds) x 18 }\frac{\text{ meters}}{\text{ (second)}}\text{ = 10 x 18 meters = 180 meters}[/tex]Therefore, the skier traveled 180 meters in 2/12 minutes.