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

The meters that Ario swim before Miguel starts his race is 4.4m

Ratios of heights

From the given information, we have the following

• Total length of the pool is 25meter.

• Let Miguel offers Ario a head start of x meters.

This shows that after x meter of Ario's Miguel starts swimming. Hence, the remaining distance for Ario is 22-x.

Based on the similarity theorem;

$\frac{x}{22-x} = \frac{1}{4}\\ 4x = 22- x\\4x + x = 22\\5x = 22\\x = \frac{22}{5}\\ x = 4.4$

Hence the meters that Ario swim before Miguel starts his race is 4.4m

Learn more on distances here: https://brainly.com/question/17273444