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. Miguel says he will start when the ratio of Ario's completed meters to Ario's remaining meters is 1:4. How many meters will Ario swim before Miguel starts the race? Round to the nearest tenth. meters

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Answer:

Miguel start to swim when Ario has traveled 4.4 m.

Step-by-step explanation:

The total lenght of the pool is 25.

Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is [tex]25-3[/tex] m= 22 m.

Assume that the distance traveled by Ario before Miguel start to swin is [tex]x[/tex]. That means, the remaining distance to Ario (to cover the total size of the pool) is [tex]22-x[/tex].

Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.

That is,

[tex]\frac{x}{22-x}=\frac{1}{4}[/tex] .

So, we need to obtain [tex]x[/tex] from this equation. We must note that [tex]x\neq 22[/tex], otherwise we have a zero in the denominator.

So, we rearrange the equation,

[tex]4x=22-x[/tex] (Multiplying both sides of equation by ([tex]4(22-x)[/tex]).

Then, [tex]5x=22[/tex].

Therefore, [tex]x=4.4[/tex] m.

Answer:

7.4

Trust me i took the test and chose 4.4 and it said it was wrong they said the answer was 7.4 so chose that for your sake the tutor got it wrong