Question

Перший робітник виготовив 120 деталей на 3 год швидше, ніж другий. За який час другий робітник виготовить 180 деталей, якщо, працюючи разом, вони за 1 год виготовляють 60 деталей? І О​

Answer 1

Problem Analysis

We are given that the first worker produces 120 parts in 3 hours faster than the second worker. We are also given that when they work together, they can produce 60 parts in 1 hour. We need to find out how long it will take for the second worker to produce 180 parts.

Solution

Let's assume that the second worker takes x hours to produce 180 parts.

From the given information, we know that the first worker produces 120 parts in x + 3 hours.

When they work together, they can produce 60 parts in 1 hour. So, in x + 3 hours, they will produce (x + 3) * 60 parts.

According to the problem, the first worker produces 120 parts in x + 3 hours. Therefore, we can set up the following equation:

120 = (x + 3) * 60

Now, let's solve this equation to find the value of x.

120 = 60x + 180

Subtracting 180 from both sides:

-60 = 60x

Dividing both sides by 60:

x = -1

Since time cannot be negative, we can conclude that the second worker cannot produce 180 parts.

Therefore, it is not possible for the second worker to produce 180 parts.

Conclusion

Based on the given information, it is not possible for the second worker to produce 180 parts.