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# need help on this

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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?

Feb 11, 2020

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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

Feb 11, 2020