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Консультация № 138087
27.05.2008, 15:03
0.00 руб.
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1
1
Решите пожалуйста задачу.
Двум сотрудникам издательства поручили отредактировать рукопись объёмом 560 страниц. Один сотрудник отдав второму 80 страниц рукописи, а остальные взял страницы себе . Второй выполнил свою работу за время в 8 раз меньше, чем первый свою. Сколько страниц рукописи первый сотрудник должен был отдать второму( взяв себе остальные, чтобы они работая с прежней производительностью выполнили свою работу за одинаковое время.
Приложение:
Решите пожалуйста неравенство. tg3x<1
Двум сотрудникам издательства поручили отредактировать рукопись объёмом 560 страниц. Один сотрудник отдав второму 80 страниц рукописи, а остальные взял страницы себе . Второй выполнил свою работу за время в 8 раз меньше, чем первый свою. Сколько страниц рукописи первый сотрудник должен был отдать второму( взяв себе остальные, чтобы они работая с прежней производительностью выполнили свою работу за одинаковое время.
Приложение:
Решите пожалуйста неравенство. tg3x<1
Обсуждение
Неизвестный
27.05.2008, 20:39
общий
это ответ
Здравствуйте, Михаил Медведев!
1) Первый взял 480 страниц, а второй 80. Пусть второй затратил х ч, тогда первый 8х ч. Производительность первого 480/8х = 60/х стр/ч, производительность второго 80/х стр/ч.
2) С той же производительностью пусть первый редактирует у стр, то есть затратит (у*х)/60 ч.
А второму останется 560 - у стр, и работать он будет (560-у)х/80. По условию это время одинаковое.
(560-у)х/80 = (у*х)/60
(560-у)/8 = у/6
3360 - 6у = 8у
у = 3360/14
у = 240
То есть первый возьмет 240 стр, а второй 560-240 = 320
1) Первый взял 480 страниц, а второй 80. Пусть второй затратил х ч, тогда первый 8х ч. Производительность первого 480/8х = 60/х стр/ч, производительность второго 80/х стр/ч.
2) С той же производительностью пусть первый редактирует у стр, то есть затратит (у*х)/60 ч.
А второму останется 560 - у стр, и работать он будет (560-у)х/80. По условию это время одинаковое.
(560-у)х/80 = (у*х)/60
(560-у)/8 = у/6
3360 - 6у = 8у
у = 3360/14
у = 240
То есть первый возьмет 240 стр, а второй 560-240 = 320
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