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

Ario will swim 5 meters before Miguel starts his race.

Step-by-step explanation:

To find out how many meters Ario will swim before Miguel starts his race, we can set up a proportion based on the given ratio.

Let x represent the number of meters Ario will swim before Miguel starts.

The ratio of Ario's completed meters (x) to his remaining meters (25 - x) is 1:4.

This can be written as (x)/(25 - x) = 1/4.

To solve this proportion, we can cross multiply and then solve for x.

Multiplying both sides of the equation by 4 gives us 4x = 25 - x.

Simplifying further, we have 5x = 25, and dividing both sides by 5 gives us x = 5.

Therefore, Ario will swim 5 meters before Miguel starts his race.

Answer 2

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 (x)/(22-x)=(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.