The cycling track consists of three identical circles. If the cyclist traveled the first circle with an average speed of 23 km / h

The cycling track consists of three identical circles. If the cyclist traveled the first circle with an average speed of 23 km / h, the second 23 km / h, the third 14 km / h, then the cyclist traveled the entire route with an average speed equal to?

Let the length of the circle X (x),
Then the time for which the cyclist traveled 1 cr. = x / 23 (fraction)
2 circle = x / 23
By the condition of the problem, 3 circle = x / 14
Let’s compose and solve the equation:
V (speed) = 3x: (x / 23 + x / 23 + x / 14)
(I immediately simplified)
3: (2/23 + 1/14)
3: (28/322 + 23/322)
3: 51/322 = 3 * 322/51 = 322/17
1816 / 17h ~ 18.94 km / h
Answer: 18.94 km / h



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