A robot travels for $T_{-}1$ seconds at the speed of $V_{-}1k\frac{m}{h},$ and afterwards for seconds at the speed V$\_2k\frac{m}{h}.$ The total traveled space is denoted with $S_{?}$tot.

The measurements of the various quantities is affected by uncertainty. Therefore, due to various issues in the measurement, the exact value of times and speeds is unknown. On the other hand, it was possible to determine the interval containing the real value of measurements. The measurements fall within the following intervals:

T$\_1$ between $100$ and $104$ seconds

$-$V$\_1$ between $36$ and $39\mathrm{.}6k\frac{m}{h}$

T$\_2$ between $54$ and $60$ seconds

$-$V$\_2$ between $3\mathrm{.}6$ and $10\mathrm{.}8k\frac{m}{h}$

You are requested to calculate the value of S$\_$tot, including its best possible approximation S$\_$tot$*$ and the absolute error delta, according to the propagation of the errors in the calculations.

The format of the result shall be

$S_{t}ot=()**$