Предмет: Математика, автор: Gelmich

Реши задачу!!! Вода наполняет ванну через кран за 3 часа, и вытекает через слив за 8 часов за какое время ванна наполнится водой если открыть слив ванны?

Ответы

Автор ответа: mgdev7752

1

Ответ:

1) Пусть при полной ванне в неё вошла какая-то отвлечённая мера воды. Пусть это будет 1 единица воды( не важно-литров, килограмм и т.д., и не важно, что взяли цифру 1-можно было взять 2, 3....)

2)Тогда скорость наполнения через кран: 1/3

3) И скорость опустошения ванны через слив: 1/8

4) Видно, что 1/3 больше 1/8. Т.е ванна наполняется водой больше, чем из неё сливается воды за то же время.

5) А на сколько больше? 1/3-1/8=5/24(литра/час)

6) Значит время наполнения ванны при полностью отрытых кране и сливе будет: 1/(5/24)=24/5=4часа 48минут.

УДАЧИ!

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