Из пункта А в пункт Б выехал автомобиль со скоростью 20 м/с. Из пункта Б в пункт А через 40 мин, после выезда автомобиля выехал автобус скорость которого 15 м/сек. На каком расстоянии от пункта А автомобиль и автобус встретятся, если расстояние между пунктами А и Б 70км?
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Расстояние, которое успел проехать автомобиль до выезда автобуса:
S₁ = v₁t₁ = 20 · 2400 = 48000 (м) = 48 (км)
Оставшееся расстояние между автомобилем и автобусом:
S₂ = S - S₁ = 70 - 48 = 22 (км)
Скорость сближения автомобиля и автобуса:
v = v₁ + v₂ = 20 + 15 = 35 (м/с)
Время до встречи с момента старта автобуса:
t = S₂/v = 22000 : 35 ≈ 628,6 (c)
Автомобиль за это время проедет:
S₃ = v₁t = 20 · 628,6 = 12572 (м)
То есть в момент встречи автомобиль будет находиться от пункта А на расстоянии:
S' = S₁ + S₃ = 48000 + 12572 = 60572 (м) = 60,572 (км)
ответ: автомобиль до встречи с автобусом проедет от пункта А
расстояние 60572 м.
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