Answer
$m\approx3~minutes$
Work Step by Step
$T=20+60e^{-0.06m}$
$70=20+60e^{-0.06m}$
$50=60e^{-0.06m}$
$\frac{5}{6}=e^{-0.06m}$
$\ln e^{-0.06m}=\ln\frac{5}{6}$
$-0.06m=\ln\frac{5}{6}$
$m=\frac{\ln\frac{5}{6}}{-0.06}=3.039$
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