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If 15 machines can produce 1200 widgets in 9 hours, how many machines would be needed to produce 2400 widgets in 6 hours, assuming they work at the same rate?
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If 15 machines can produce 1200 widgets in 9 hours, how many machines ...
Problem:
If 15 machines can produce 1200 widgets in 9 hours, how many machines would be needed to produce 2400 widgets in 6 hours, assuming they work at the same rate?

Solution:
To determine the number of machines needed to produce 2400 widgets in 6 hours, we can use the concept of machine productivity. We know that 15 machines can produce 1200 widgets in 9 hours. To find the number of machines required to produce 2400 widgets in 6 hours, we need to set up a proportion.

Step 1: Set up a proportion:
Let's assume the number of machines required is "x." We can set up the following proportion:

15 machines / 1200 widgets = x machines / 2400 widgets

Step 2: Solve for x:
To solve for x, we can cross-multiply and then divide:

15 * 2400 = 1200 * x

36000 = 1200x

x = 36000 / 1200

x = 30

Answer:
Therefore, 30 machines would be needed to produce 2400 widgets in 6 hours, assuming they work at the same rate.
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If 15 machines can produce 1200 widgets in 9 hours, how many machines would be needed to produce 2400 widgets in 6 hours, assuming they work at the same rate?
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