II. If a worker takes 60 hours to perform a task the first time he/she does it, and the learning percentage is 80%. Use the table at the end of the exam to determine:

a. How long does it take the worker to do the task the fifth time it is performed?

b. How long does it take the worker to do all five tasks?

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[b]{2}{*}{\begin{tabular}{c} Unlt \\ Number \end{tabular}} & \multicolumn{2}{|c|}{ 70% } & \multicolumn{2}{|c|}{ 75% } & \multicolumn{2}{|c|}{ 80% } & \multicolumn{2}{|c|}{ 85 % } & \multicolumn{2}{|c|}{ 90 % } \\ \hline & \begin{tabular}{c} Unlt \\ Tlme \end{tabular} & \begin{tabular}{l} Total \\ Tlme \end{tabular} & \begin{tabular}{c} Unlt \\ Time \end{tabular} & \begin{tabular}{l} Total \\ Time \end{tabular} & \begin{tabular}{c} Unlt \\ Time \end{tabular} & \begin{tabular}{l} Total \\ Tlme \end{tabular} & \begin{tabular}{l} Unlt \\ Time \end{tabular} & \begin{tabular}{l} Total \\ Tlme \end{tabular} & \begin{tabular}{c} Unlt \\ Time \end{tabular} & \begin{tabular}{l} Total \\ Tlme \end{tabular} \\ \hline 2 & .700 & 1.700 & .750 & 1.750 & .800 & 1.800 & .850 & 1.850 & .900 & 1.900 \\ \hline 3 & .568 & 2.268 & .634 & 2.384 & .702 & 2.502 & .773 & 2.623 & .846 & 2.746 \\ \hline 4 & .490 & 2.758 & .562 & 2.946 & .640 & 3.142 & .723 & 3.345 & .810 & 3.556 \\ \hline 5 & .437 & 3.195 & .513 & 3.459 & .596 & 3.738 & .686 & 4.031 & .783 & 4.339 \\ \hline 6 & .398 & 3.593 & .475 & 3.934 & .561 & 4.299 & .657 & 4.688 & .762 & 5.101 \\ \hline 7 & .367 & 3.960 & .446 & 4.380 & .534 & 4.834 & .634 & 5.322 & .744 & 5.845 \\ \hline 8 & .343 & 4.303 & .422 & 4.802 & .512 & 5.346 & .614 & 5.936 & .729 & 6.574 \\ \hline 9 & .323 & 4.626 & .402 & 5.204 & .493 & 5.839 & .597 & 6.533 & .716 & 7.290 \\ \hline 10 & .306 & 4.932 & .385 & 5.589 & .477 & 6.315 & .583 & 7.116 & .705 & 7.994 \\ \hline 11 & .291 & 5.223 & .370 & 5.958 & .462 & 6.777 & .570 & 7.686 & .695 & 8.689 \\ \hline 13 & .267 & 5.769 & .345 & 6.660 & .438 & 7.665 & .548 & 8.792 & .677 & 10.052 \\ \hline 14 & .257 & 6.026 & .334 & 6.994 & .428 & 8.092 & .539 & 9.331 & .670 & 10.721 \\ \hline 15 & .248 & 6.274 & .325 & 7.319 & .418 & 8.511 & .530 & 9.861 & .663 & 11.384 \\ \hline 16 & .240 & 6.514 & .316 & 7.635 & .410 & 8.920 & .522 & 10.383 & .656 & 12.040 \\ \hline 17 & .233 & 6.747 & .309 & 7.944 & .402 & 9.322 & .515 & 10.898 & .650 & 12.690 \\ \hline 18 & .226 & 6.973 & .301 & 8.245 & .394 & 9.716 & .508 & 11.405 & .644 & 13.334 \\ \hline 19 & .220 & 7.192 & .295 & 8.540 & .388 & 10.104 & .501 & 11.907 & .639 & 13.974 \\ \hline 20 & .214 & 7.407 & .288 & 8.828 & .381 & 10.485 & .495 & 12.402 & .634 & 14.608 \\ \hline 21 & .209 & 7.615 & .283 & 9.111 & .375 & 10.860 & .490 & 12.892 & .630 & 15.237 \\ \hline 22 & .204 & 7.819 & .277 & 9.388 & .370 & 11.230 & .484 & 13.376 & .625 & 15.862 \\ \hline 23 & .199 & 8.018 & .272 & 9.660 & .364 & 11.594 & .479 & 13.856 & .621 & 16.483 \\ \hline 24 & .195 & 8.213 & .267 & 9.928 & .359 & 11.954 & .475 & 14.331 & .617 & 17.100 \\ \hline 25 & .191 & 8.404 & .263 & 10.191 & .355 & 12.309 & .470 & 14.801 & .613 & 17.713 \\ \hline 26 & .187 & 8.591 & .259 & 10.449 & .350 & 12.659 & .466 & 15.267 & .609 & 18.323 \\ \hline 28 & .180 & 8.954 & .251 & 10.955 & .342 & 13.347 & .458 & 16.186 & .603 & 19.531 \\ \hline 29 & .177 & 9.131 & .247 & 11.202 & .338 & 13.685 & .454 & 16.640 & .599 & 20.131 \\ \hline 30 & .174 & 9.305 & .244 & 11.446 & .335 & 14.020 & .450 & 17.091 & .596 & 20.727 \\ \hline \end{tabular}