Question

You are in a bike race. When you get to the first checkpoint, you are $\frac{2}{5}$

of the distance to the second checkpoint. When you get to the second checkpoint, you are $\frac{1}{4}$
of the distance to the finish. What is the distance from the start to the first checkpoint?

Answer 1

The distance from the star to the second checkpoint is 4 miles

Explanation:

The complete question in the attached figure

we know that

When you get to the second checkpoint, you are 1/4 of the distance to the finish

so

The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4

The total distance is 40 miles ( see the attached figure)

so

The distance from the star to the second checkpoint is

`(1)/(4)(40)=10\ miles`

Find out the distance from the start to the first checkpoint

Multiply the distance from the star to the second checkpoint by 2/5

`(2)/(5)(10)=4\ miles`