Question

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

Answer 1

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 $25-3$ m= 22 m.

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

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

That is,

$\frac{x}{22-x}=\frac{1}{4}$ .

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

So, we rearrange the equation,

$4x=22-x$ (Multiplying both sides of equation by ($4(22-x)$).

Then, $5x=22$.

Therefore, $x=4.4$ m.