1. The problem statement, all variables and given/known data 2. Relevant equations distance = rate * time 3. The attempt at a solution I thought I could put it into a ratio like this: (r = rate) x / r = 100 ft / 3r Cross multiply: 3rx = 100r Divide by r on both sides: 3x = 100 x = 100/3 But then I figured that neither dragon nor car was travelling a certain distance, they were just travelling at a pace. I already know how to arrive at the answer, but I don't understand why I've arrived at the answer: distance = rate * time (r = rate, t = time) rt + 100 = 3rt 100 = 2rt 50 = rt (r = rate, y = time) 4ry = 100 ry = 25 distance = rate(t + y) distance = rate(t) + rate(y) (plug in from the solutions of above equations) distance = 50 + 25 distance = 75 I don't understand from the very first step of how the equations came to be. Is there a different way to solve this? So I can understand it intuitively instead of algebraically?