# GATE2017 ME-1: 55

Two cutting tools with tool life equations given below are being compared:

Tool $1$: $VT^{0.1}=150$

Tool $2$: $VT^{0.3}=300$

where $V$ is cutting speed in m/minute and $T$ is tool life in minutes. The breakeven cutting speed beyond which Tool $2$ will have a higher tool life is ________ m/minute.

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