Question

Два комбайна, работая совместно, могут выполнить задание за 6 ч. Первый комбайн, работая один, может выполнить это задание на 5 ч. скорее, чем второй комбайн. За сколько времени может выполнить задание первый комбайн, работая один?

Answer 1

1/х + 1/(х+5) = 1/6  решив уравнение, получаем х=10. ответ за 10часов

Answer 2

Task Completion Time for Two Combines

To determine the time it takes for the first combine to complete the task on its own, we can use the information provided.

Let's assume that the task takes x hours to complete when the first combine works alone.

According to the given information, when two combines work together, they can complete the task in 6 hours. On the other hand, the first combine can complete the task 5 hours faster than the second combine.

Based on this information, we can set up the following equation:

x - 5 + x = 6

Simplifying the equation, we get:

2x - 5 = 6

Adding 5 to both sides of the equation:

2x = 11

Dividing both sides of the equation by 2:

x = 5.5

Therefore, the first combine, working alone, can complete the task in 5.5 hours.