Kenny is running the Challenge of Champions obstacle race at his summer camp. He runs \( \frac{1}{2} \) of a mile, but then he twists his ankle while going up the Mounds of Doom. Kenny still has \( \frac{3}{4} \) of a mile left to run, so he drops out of the race. Which equation can you use to find the total distance \( d \) of the race? \[ \frac{1}{2} d=\frac{3}{4} \] Solve this equation for \( d \) to find the total distance of the race. To write a fraction, use a slash ( / ) to separate the numerator and denominator. miles

To find the total distance \( d \) of the race, we start with the equation you provided: \[ \frac{1}{2} d = \frac{3}{4} \] To solve for \( d \), we can isolate \( d \) by multiplying both sides of the equation by 2: \[ d = 2 \cdot \frac{3}{4} \] This simplifies to: \[ d = \frac{6}{4} \] Reducing \( \frac{6}{4} \) gives us: \[ d = \frac{3}{2} \] So, the total distance of the race is \( \frac{3}{2} \) miles, which is equal to 1.5 miles. Kenny's race might have seemed like a tough challenge, but did you know that obstacle races often test not just physical endurance but also problem-solving skills? Runners must navigate different terrains and think on their feet to tackle obstacles effectively! For anyone gearing up for an obstacle race, remember to warm up properly and pay attention to your footing! A common mistake is rushing into the course without a strategy, which can lead to sprains or falls. Don't forget to hydrate and keep a steady pace to preserve your energy for those daunting challenges ahead!