# Task. How long did the trip to Ryazan?

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Let S₁ and S₂ , V₂ and V₁, t₁ and t₂, respectively, distance, speed and time on the first and second parts of the path. \r\n\r\pogda average speed all the way:\r\n\r\n( S₁ + S₂) / (t₁ + t₂) = (S₁ + S₂) / (S₁ / V₁ + S₂ / V₂) = 56.\r\n\r\puwede new symbols: x = V₁ = S₂, y = V₂ = S₁ in accordance with the requirement of numerical equality. The result is the equation\r\n\r\n(y + x) / (y / x + x / y) = 56, after conversion \r\n\r\n(56 – y)x2 - у2х + 56у2 = 0.\r\n\r\imeem quadratic equation with two unknown integer values. \r\n\r\povodom in the equation y = 50, we find the root x = 350. \r\n\r\vicissim you visit, \r\n\r\n50/350 + 350/50 = 1/7 + 7 (hours).\r\n\r\proverka: 400/(1/7 + 7) = 56 (km).

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