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 Arios completed meters to his remaining meters is 1:4. How many meters will Ario swim before Miguel starts his race?

Guest Feb 11, 2020

#1**+1 **

Well.....I don't know what is assumed here.....but....

If the race is only over the length of the pool ......then Ario will swim 5m before Miguel starts

To see this he swms 1(5) = 5m and he has 20 m left to swim

So 5 : 20 = 1 : 4

If the race starts 3 m from the pool then both will travel 25 + 3 = 28 m

So.....there are 5 equal segments to the race....each being 28/5 = 5.6m

So.....Ario will travel (1 * 5.6) = 5.6 m before Miguel starts

And he has 4 (5.6) = 22.4 meters left to travel

Note that 5.6 : 22.4 = 1 : 4

But....the distance that he actually swims over the 5.6 m = 5.6 - 3 = 2.6 m

CPhill Feb 11, 2020