Question

Nathan and Sidney Starr out together on a bike trail that is 24 miles long. Nathan bikes 1/8 miles per hour. Sydney bikes at 12 miles per hour. Which statement is true?

Answer 1

Answer: 3) Sydney arrives 1 hour before Nathan.

Explanation:

The complete exercise is:

Nathan and Sydney start out together on a bike trail that is 24 miles long. Nathan bikes at 8 miles per hour. Sydney bikes at 12 miles per hour. Which statement is true?

1) Nathan arrives 1 hour later than Sydney.

2) Nathan arrives 4 hours later than Sydney.

3) Sydney arrives 1 hour before Nathan.

4) They arrive at the same time.

You need to remember that:

`V=(d)/(t)`

Where "V" is the speed, "d" is distance and "t" is time.

If you solve for "t", this is:

`t=(d)/(V)`

Calculate the time it takes to Nathan arrives to the end of the bike trail.

Knowing that:

`d_1=24\ mi\\\\V_1=8 (mi)/(h)`

Therefore, you get:

`t_1=(24\ mi)/(8 (mi)/(h))\\\\t_1=3\ h`

Calculate the time it takes to Sidney arrives to the end of the bike trail.

Knowing that:

`d_2=24\ mi\\\\V_2=12 (mi)/(h)`

Then,you get:

`t_2=(24\ mi)/(12 (mi)/(h))\\\\t_2=2\ h`

You can notice that Sidney arrives first.

So, subtracting the times calculated, you get:

`t_1-t_2=3\ h-2\ h=1\ h`

Based on this, you can conclude that Sydney arrives 1 hour before Nathan.