Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. He says he will start when the ratio of Ario's completed meters to his remaining meters is 1:4.
How many meters will Ario swim before Miguel starts the race? Round to the nearest tenth.
The total distance that will be covered is 25 - 3 = 22 If we let x be the head start that Ario will have before Miguel starts, then we have the equation x / (22 - x ) = 1/4 Solve for x x = 4.4 Ario will have to travel 4.4 meters before Miguel starts
