Two cyclists left points A and B at the same time towards each other. After 24 minutes, they met.

| September 7, 2021 | education

Two cyclists left points A and B at the same time towards each other. After 24 minutes, they met. 36 minutes after the meeting, the cyclist who left point A arrived at point B. How long will the cyclist who left point B spend on the entire journey.

The cyclist leaving point A, after meeting with the cyclist leaving point B, covered the rest of the route in 36 minutes.

Before the meeting, the cyclist who left point B covered this section of the path in 24 minutes.

Therefore, the ratio of the speed of the cyclist leaving point A to the speed of the cyclist leaving point B is equal to the ratio 24: 36 = 2/3.

The cyclist who left point B, according to the condition of the problem, spent 24 + 36 = 60 minutes on the whole journey.

Since the ratio of their speeds is 2/3, therefore, the travel time of one cyclist will be related to the travel time of another cyclist as 2/3. We get:

60 * 2/3 = 120/3 = 40 (minutes).



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