# Two cyclists left the start at the same time. the first moved at a speed of 25 km / h, and the second 30 km / h.

Two cyclists left the start at the same time. the first moved at a speed of 25 km / h, and the second 30 km / h. Finished second 1 hour earlier. what is the distance from start to finish?

Suppose the distance between start and finish is x km.
In this case, the time of the first cyclist for the entire route will be equal to: x / 25 hours.
The time of the second cyclist will be: x / 30 hours.
We get the equation of the time difference.
x / 25 – x / 30 = 1.
Let’s get rid of denominators.
30 * x – 25 * x = 30 * 25.
5 * x = 750.
x = 750/5 = 150 km.
Checking the solution:
150/25 = 6 hours (first time).
150/30 = 5 hours (second time).
Answer: from start to finish 150 kilometers.

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