Question

You and Anthony are having a swimming race. You can swim 4 meters per minute, and Anthony can swim 4.5 meters per minute. You start at the same time. After how many minutes will Anthony be ahead of you 2 meters?

Answer 1

4 minutes

Explanation:

Given that:

Person 1's speed = 4 meters per minute

Anthony's speed = 4.5 meters per minute

To find:

In how many minutes, Anthony will be 2 meters ahead ?

Solution:

Let the time taken =
`t` minutes

Distance covered by 1st person = D meters

Distance covered by Anthony = (D + 2) meters

Formula:

Distance = Speed
`*` Time

For 1st person:

`D = 4 * t` ....... (1)

For Anthony:

`D+2 = 4.5 * t`

Using first equation:

`4t + 2 = 4.5t\\\Rightarrow 0.5t = 2\\\Rightarrow \bold{t = 4\ minutes}`

So, in 4 minutes, Anthony will be 2 meters ahead of the first person.