You are in a bike race. When you get to the first checkpoint, you are 25 2 5 of the distance to the second checkpoint. When you get to the second checkpoint, you are 14 1 4 of the distance to the finish. What is the distance from the start to the first checkpoint?

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Complete Question

You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?

4 miles

Step-by-step explanation:

When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish.

Hence, the distance between the start and the first check point is given by the fraction:

2/5 × 1/4

= 2/20 = 1/10

We are told that the: entire race = 40 miles

Hence, 1/10 × 40 miles

= 4 miles.

The distance between the start and the first check point is 4 miles

i believe the answer is c.