
Из одной деревни в противоположных направлениях выехали одновременно два велосипедиста.Через 4 ч
расстояние между ними стало равным 140км.расстояние которое проехал первый велосипедист на 20 км больше расстояния,которое проехал второй велосипедист.найди скорость каждого велосипедиста"

Ответы на вопрос

1)80 :4 = 20 ( км/ч) - скорость первого .
2) 60 :4 = 15 ( км/ч) - скорость второго .
Ответ : V1 - 20 км\ч,V 2 - 15 км\ч.



Problem Analysis
We have two cyclists who start from the same village in opposite directions at the same time. After 4 hours, the distance between them is 140 km. The first cyclist travels 20 km more than the second cyclist. We need to find the speed of each cyclist.Solution
Let's assume the speed of the first cyclist is x km/h and the speed of the second cyclist is y km/h.After 4 hours, the distance traveled by the first cyclist is 4x km, and the distance traveled by the second cyclist is 4y km.
According to the given information, the distance between them is 140 km. So, we can write the equation:
4x + 4y = 140 (Equation 1)
We are also given that the distance traveled by the first cyclist is 20 km more than the distance traveled by the second cyclist. So, we can write another equation:
4x = 4y + 20 (Equation 2)
Now, we can solve these two equations to find the values of x and y.
Solving the Equations
Let's solve the equations using the substitution method.From Equation 2, we can express x in terms of y:
x = y + 5 (Equation 3)
Substituting Equation 3 into Equation 1, we get:
4(y + 5) + 4y = 140
Simplifying the equation:
8y + 20 = 140
8y = 120
y = 15
Substituting the value of y back into Equation 3, we can find x:
x = 15 + 5
x = 20
Answer
Therefore, the speed of the first cyclist is 20 km/h and the speed of the second cyclist is 15 km/h.

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