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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?
Answer:
4 miles
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