Question

Задачка з математики: Перший робітник може виконати виробниче завдання за 5 годин,а другий за 15 годин.Яку частину завдання вони виконають,якщо працюватимуть разом 1 ціле одна четверта години.Чи встигнуть вони,працюючи разом,виконати завдання за 3 години?( Вирішить будь ласка)

Answer 1

не встигнуть

тому що перший за 2.5 години зробить пів роботи

а другий  повільніший за 0.5 години не зробить пів роботи

Answer 2

Problem:

Перший робітник може виконати виробниче завдання за 5 годин, а другий за 15 годин. Яку частину завдання вони виконають, якщо працюватимуть разом 1 ціле одна четверта години? Чи встигнуть вони, працюючи разом, виконати завдання за 3 години?

Solution:

To solve this problem, we need to find the combined work rate of the two workers and then calculate the portion of the task they can complete in a given amount of time.

Let's start by finding the work rate of each worker. The first worker can complete the task in 5 hours, so their work rate is 1/5 of the task per hour. Similarly, the second worker can complete the task in 15 hours, so their work rate is 1/15 of the task per hour.

To find the combined work rate, we add the individual work rates together. So the combined work rate of the two workers is 1/5 + 1/15 = 4/15 of the task per hour.

Now, let's calculate the portion of the task they can complete in 1 and 1/4 hours. To do this, we multiply the combined work rate by the time in hours. So the portion of the task they can complete in 1 and 1/4 hours is (4/15) * (5/4) = 1/3 of the task.

Therefore, if they work together for 1 and 1/4 hours, they will complete 1/3 of the task.

Now, let's determine if they can complete the task in 3 hours when working together. To do this, we need to compare the time it takes for them to complete the task individually with the time it takes for them to complete the task together.

The first worker can complete the task in 5 hours, and the second worker can complete the task in 15 hours. When they work together, their combined work rate is 4/15 of the task per hour. To find the time it takes for them to complete the task together, we divide the task by their combined work rate: 1 / (4/15) = 15/4 = 3.75 hours.

Since 3.75 hours is greater than 3 hours, they will not be able to complete the task in 3 hours when working together.

In summary: - If they work together for 1 and 1/4 hours, they will complete 1/3 of the task. - They will not be able to complete the task in 3 hours when working together.

Note: The search result snippet provided does not contain the specific solution to this problem. The solution provided above is based on the principles of work rate and time calculations.