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GATE Mechanical 2024 | Question: 50

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A cutting tool provides a tool life of $60$ minutes while machining with the cutting speed of $60 \mathrm{~m} / \mathrm{min}$. When the same tool is used for machining the same material, it provides a tool life of $10$ minutes for a cutting speed of $100 \mathrm{~m} / \mathrm{min}$. If the cutting speed is changed to $80 \mathrm{~m} / \mathrm{min}$ for the same tool and work material combination, the tool life computed using Taylor's tool life model is ________ minutes (rounded off to $2$ decimal places).
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