The engine of a locomotive exerts a constant force of $6\mathrm{.}7$x $10\mathrm{⁵}$ N to accelerate a train to $82$ km$/$h$.$ Determine the time $($in min$)$ taken for the train of mass $1\mathrm{.}3$x$10\mathrm{⁷}$ kg to reach this speed from rest.