The cyclist rode from point A to point B at a speed of 10 km / h, and from point B to point C at a speed of 15 km / h.

| February 19, 2021 | education

The cyclist rode from point A to point B at a speed of 10 km / h, and from point B to point C at a speed of 15 km / h. He spent 5 hours for the entire journey. In the same time, he could have traveled the same path at a speed of 12 km / h. How many hours did the cyclist travel from A to B and how many hours from B to C?

According to the condition of the problem, a cyclist can travel all the way from A to B and from B to C in 5 hours at a speed of 12 km / h.

So this distance is equal to:

5 * 12 = 60 km.

Suppose that a cyclist travels the path from A to B at a speed of 10 km / h in x hours, then a cyclist travels a path from B to C at a speed of 15 km / h in (5 – x) hours.

Thus, we can form the following equation:

10 * x = 15 * (5 – x),

10 * x = 75 – 15 * x,

25 * x = 75,

x = 75: 25,

x = 3.

Therefore, the distance from A to B is equal to:

10 * 3 = 30 km,

and the distance from B to C is equal to:

15 * (5 – 3) = 30 km.



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