For a steel alloy it has been determined that a carburizing heat treatment of $10\mathrm{.}1h$ duration will raise the carbon concentration to $0\mathrm{.}340wt\%$ at a point $2\mathrm{.}30mm$ from the surface. Estimate the time necessary to achieve the same concentration at a $4\mathrm{.}60mm$ position for an identical steel and at the same carburizing temperature.

$t=$

h