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. 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? Round to the nearest tenth

Answer 1

Answer:

Ario must swim 4.4 m before Miguel starts his race.

Step-by-step explanation:

Total length of the pool 25 meter.

Let us assume that Miguel offers Ario a head start of x meters.

i.e after x meter of Ario's Miguel starts swimming.

So the remaining distance for Ario is 22-x.

According to the question,

$\Rightarrow \dfrac{x}{22-x}=\dfrac{1}{4}$

$\Rightarrow 4x=22-x$

$\Rightarrow 5x=22$

$\Rightarrow x=4.4\ m$

Therefore, Ario must swim 4.4 m before Miguel starts his race.

Answer 2

Since both of them are 3 meters from one side of the 25 meter pool, the distance that they have to cover is actually only 22 meters only. To answer this item, we let x be the distance covered by Ario and 22-x be his remaining distance. Such that,
                                 x/(22-x) = 1/4
The value of x from the equation is 4.4. 

Therefore, the distance that Ario had covered is 4.4 m.