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Консультация № 72492
24.01.2007, 21:29
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Два рабочих выполнили задание за 6 ч. Если бы работал один первый рабочий, то он выполнил бы это задание за десять часов. Какую часть работы выполнял за час каждый рабочий?
Обсуждение
Неизвестный
24.01.2007, 21:54
общий
это ответ
Здравствуйте, NataliCat!
Пусть вся работа=1. Тогда за час первый выполняет 1/10, а за 6 часов 6/10, тогда второй за 6 часов 4/10, а за час 4/60=1/15
ответ:1/10 и 1/15
Пусть вся работа=1. Тогда за час первый выполняет 1/10, а за 6 часов 6/10, тогда второй за 6 часов 4/10, а за час 4/60=1/15
ответ:1/10 и 1/15
Неизвестный
24.01.2007, 22:07
общий
это ответ
Здравствуйте, NataliCat!
Обозначим всю работу за единицу - <b>1</b>.
Скорость выполнения (какую часть работы за 1 час) работы 1-вым рабочим обозначим через <b>x</b>
а скорость выполнения работы 2-ым рабочим обозначим через <b>y</b>.
Из условия следует, что:
1/x=10;
1/(x+y)=6;
Из первого уравнения видно что <b>x=1/10</b>.
Немного преобразуем второе:
6x+6y=1 => y=(1-6x)/6 =>
=> y=(1-6/10)/6=4/10/6=1/15.
Соответственно ответ такой:
<font color=purple>Первый рабочий выполнял 1/10 часть работы за час работы.
Второй рабочий выполнял 1/15 часть работы за час работы.
</font>
Good Luck!!!
Обозначим всю работу за единицу - <b>1</b>.
Скорость выполнения (какую часть работы за 1 час) работы 1-вым рабочим обозначим через <b>x</b>
а скорость выполнения работы 2-ым рабочим обозначим через <b>y</b>.
Из условия следует, что:
1/x=10;
1/(x+y)=6;
Из первого уравнения видно что <b>x=1/10</b>.
Немного преобразуем второе:
6x+6y=1 => y=(1-6x)/6 =>
=> y=(1-6/10)/6=4/10/6=1/15.
Соответственно ответ такой:
<font color=purple>Первый рабочий выполнял 1/10 часть работы за час работы.
Второй рабочий выполнял 1/15 часть работы за час работы.
</font>
Good Luck!!!
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