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В решении.
Объяснение:
Школьники занимаются прополкой огорода, который находится на пришкольном участке. Работают они с разной скоростью, а некоторые из них, как показывает практика, даже мешают общей работе, просто закапывая сорняки или перебрасывая их на участок соседа...
Вчерашняя работа показала, что Петя и Алина выпалывают гряду за 7 мин, Алина и Николай выпалывают её же за 14 мин, Николай и Петя — за 28 мин.
За сколько минут выполнят эту работу все вместе?
1 - гряда (условный объём работы).
1/7 - производительность Пети и Алины (часть гряды в минуту).
1/14 - производительность Николая и Алины (часть гряды в минуту).
1/28 - производительность Николая и Пети (часть гряды в минуту).
П + А + Н + А + Н + П = 1/7 + 1/14 + 1/28
2(П + А + Н) = 1/4
Сократить (разделить) обе части уравнения на 2:
(П + А + Н) = 1/8 - общая производительность трёх школьников.
1 : 1/8 = 8 (минут). ответ задачи.