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Консультация № 189920
22.10.2016, 22:47
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Обсуждение
24.10.2016, 06:31
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это ответ
Здравствуйте, moonfox!
Пусть скорости измеряются в количестве ступеней в секунду, t - время спуска пассажира по по эскалатору.
Тогда t = N1/v. К моменту, когда пассажир, спускаясь, дойдет до N1-ой ступеньки, эта ступенька должна стать
последней. То есть, за время t эскалатор должен опуститься на N - N1 ступенек. Следовательно,
t = (N - N1)/u. Приравнивая два выражения для t, получим
N1/v = (N - N1)/u,
откуда
N/N1 = u/v + 1.
Отношение скоростей u/v не заваисит от того, измеряются расстояния количеством ступенек или метрами.
Находим N/N1 = 3/2, N1 = 90*2/3 = 60 ступеней.
Пусть скорости измеряются в количестве ступеней в секунду, t - время спуска пассажира по по эскалатору.
Тогда t = N1/v. К моменту, когда пассажир, спускаясь, дойдет до N1-ой ступеньки, эта ступенька должна стать
последней. То есть, за время t эскалатор должен опуститься на N - N1 ступенек. Следовательно,
t = (N - N1)/u. Приравнивая два выражения для t, получим
N1/v = (N - N1)/u,
откуда
N/N1 = u/v + 1.
Отношение скоростей u/v не заваисит от того, измеряются расстояния количеством ступенек или метрами.
Находим N/N1 = 3/2, N1 = 90*2/3 = 60 ступеней.
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