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?
Accepted Solution
A:
Answer: The distance from the star to the second checkpoint is 4 milesStep-by-step explanation:The complete question in the attached figurewe know thatWhen you get to the second checkpoint, you are 1/4 of the distance to the finishsoThe distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4The total distance is 40 miles ( see the attached figure)soThe distance from the star to the second checkpoint is[tex]\frac{1}{4}(40)=10\ miles[/tex]Find out the distance from the start to the first checkpointMultiply the distance from the star to the second checkpoint by 2/5[tex]\frac{2}{5}(10)=4\ miles[/tex]