Question

Рабочий может выполнить весь заказ за3часа а ученик за 7 часов. Какую часть выполнитрабочий за1час . Какую часть выполнит ученик за 1 час . Какую часть заказа они выполнят работая вместе за 1час

Answer 1

1\3 часть выполнит рабочий за час
1\7 выполнит ученик
1\3 + 1\7 = 10\21 части выполнят вместе за час

Answer 2

Calculation of Work Efficiency

To determine the portion of the order that the worker and the apprentice can complete in one hour, we need to calculate their respective work efficiencies.

Let's assume that the worker can complete the entire order in 3 hours, while the apprentice can complete it in 7 hours.

To find the portion of the order that the worker can complete in one hour, we divide the total order by the worker's time to complete the order:

Worker's work efficiency = 1 / 3

To find the portion of the order that the apprentice can complete in one hour, we divide the total order by the apprentice's time to complete the order:

Apprentice's work efficiency = 1 / 7

Work Efficiency in One Hour

Now, let's calculate the portion of the order that the worker and the apprentice can complete in one hour.

The portion of the order that the worker can complete in one hour is equal to their work efficiency:

Worker's portion in one hour = Worker's work efficiency = 1 / 3

The portion of the order that the apprentice can complete in one hour is equal to their work efficiency:

Apprentice's portion in one hour = Apprentice's work efficiency = 1 / 7

Combined Work Efficiency in One Hour

To determine the portion of the order that they can complete together in one hour, we add their individual work efficiencies:

Combined portion in one hour = Worker's portion in one hour + Apprentice's portion in one hour

Substituting the values:

Combined portion in one hour = (1 / 3) + (1 / 7)

Simplifying the expression:

Combined portion in one hour = 10 / 21

Therefore, when working together, the worker and the apprentice can complete 10/21 of the order in one hour.

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