A machine takes 5 hours to cutting 120 tools. How many tools will it cut in 20 hours?

Answer

To solve the problem, we will follow these steps:

**Step 1: Determine the number of tools cut per hour.**
The machine cuts 120 tools in 5 hours. To find out how many tools it cuts in one hour, we can use the formula:

\[ \text{Tools per hour} = \frac{\text{Total tools}}{\text{Total hours}} = \frac{120 \text{ tools}}{5 \text{ hours}} = 24 \text{ tools/hour} \]

**Step 2: Calculate the total number of tools cut in 20 hours.**
Now that we know the machine cuts 24 tools in one hour, we can find out how many tools it will cut in 20 hours by multiplying the number of tools cut per hour by the number of hours:

\[ \text{Total tools in 20 hours} = \text{Tools per hour} \times \text{Total hours} = 24 \text{ tools/hour} \times 20 \text{ hours} = 480 \text{ tools} \]

**Final Answer:**
The machine will cut **480 tools** in 20 hours.

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