Question

Один рабочий порученную работу выполнил за 12 ч а другой эту же работу за 15 ч. Кто из них сделает больше: первый за 5 ч или второй за 7 ч?

Answer 1

Ответ:

1 за 5 часов сделает 5/12= 25/60

2 за 7 часов сделает 7/15= 28/60

25/60 (0.416) < 28/60 (0.46)

0.416 < 0.46

=> второй сделает больше

Answer 2

Problem Analysis

We have two workers who were assigned the same task. One worker completed the task in 12 hours, while the other completed it in 15 hours. We need to determine which worker will complete the task faster: the first worker in 5 hours or the second worker in 7 hours.

Solution

To determine which worker will complete the task faster, we need to compare their rates of work. The rate of work is calculated by dividing the amount of work done by the time taken to complete it.

Let's calculate the rates of work for both workers:

- The first worker completed the task in 12 hours, so their rate of work is 1/12 of the task per hour. - The second worker completed the task in 15 hours, so their rate of work is 1/15 of the task per hour.

Now, let's compare the rates of work for both workers:

- The first worker's rate of work is 1/12 of the task per hour. - The second worker's rate of work is 1/15 of the task per hour.

Since the first worker's rate of work is higher than the second worker's rate of work, the first worker will complete the task faster.

Now, let's compare the time it will take for each worker to complete the task:

- The first worker will complete the task in 5 hours, which means they will complete 5 * (1/12) = 5/12 of the task. - The second worker will complete the task in 7 hours, which means they will complete 7 * (1/15) = 7/15 of the task.

Since 5/12 > 7/15, the first worker will complete more of the task in their given time compared to the second worker.

Therefore, the first worker will complete more of the task in 5 hours than the second worker will in 7 hours.

Conclusion

Based on the calculations, the first worker will complete more of the task in 5 hours compared to the second worker in 7 hours.