Question

Велосипедист ехал первые 2 ч со скоростью u км/ч а следующие 3ч со скоростью v км / ч мотоциклист двигаясь равномерно проехал это же расстояние за 4 ч какова скорость мотоциклиста

Answer 1

Путь велосипедиста равен пути мотоциклиста.
1) S = 2*U + 3*V - путь велосипедиста
Время мотоциклиста - 4 ч. (дано)
2) Vм = S : 4 = U/2 + 3/4*V - скорость мотоциклиста - ОТВЕТ

Answer 2

The Problem:

A cyclist traveled the first 2 hours at a speed of u km/h and the next 3 hours at a speed of v km/h. A motorcyclist traveled the same distance uniformly in 4 hours. We need to find the speed of the motorcyclist.

Breaking it Down:

* The cyclist traveled for 2 hours at a speed of u km/h * So in the first 2 hours, the distance covered by the cyclist is: 2 * u km * The cyclist then traveled for the next 3 hours at a speed of v km/h * So in the next 3 hours, the distance covered by the cyclist is: 3 * v km * The total distance covered by the cyclist is the sum of the above two: 2 * u + 3 * v km * The motorcyclist covered the same total distance uniformly over 4 hours * Let the speed of the motorcyclist be x km/h * Then, Distance = Speed * Time * Total Distance = x * 4 km * Equating the total distances: 2 * u + 3 * v = x * 4 * Solving this: x = (2 * u + 3 * v) / 4

Therefore, the speed of the motorcyclist is (2 * u + 3 * v) / 4 km/h.