Question

Двое рабочих, работая вместе, могут выполнить заказ за 16 часов. За сколько часов может выполнить это задание первый рабочий, работая самостоятельно, если второй рабочий может выполнить это задание за 24 часа?

Answer 1

Ответ:

48

Пошаговое объяснение:

За единицу примем работу (выполнение заказа).

1/16 -производительность двух рабочих.

1/24 - производительность 2-го рабочего.

1/16 -1/24=3/48 -2/48=1/48 - производительность 1-го рабочего.

1/(1/48)=1·48=48 ч - время, за которое может выполнить это задание 1-й рабочий.

Answer 2

Calculating the Time for the First Worker to Complete the Task Alone

To calculate the time for the first worker to complete the task alone, we can use the concept of "worker efficiency." If two workers working together can complete the task in 16 hours, and the second worker can complete the task alone in 24 hours, we can calculate the efficiency of the two workers and then use it to find the time for the first worker to complete the task alone.

The efficiency of the two workers working together can be calculated using the formula: Efficiency = Total Work / Time Taken

The efficiency of the first worker can then be calculated using the formula: Efficiency of First Worker = Total Work / Time Taken by First Worker Alone

Let's calculate the efficiency of the two workers working together and then use it to find the time for the first worker to complete the task alone.

The efficiency of the two workers working together: Efficiency = Total Work / Time Taken Efficiency = 1 / 16 The efficiency of the second worker: Efficiency of Second Worker = Total Work / Time Taken by Second Worker Alone Efficiency of Second Worker = 1 / 24 Now, we can use the efficiency of the two workers working together and the efficiency of the second worker to find the efficiency of the first worker and then calculate the time for the first worker to complete the task alone.

Let's proceed with the calculations.