Between 1 O'clock and 2 O'clock, when the times at which the hour and minute hands will make an angle of 100° with each other, and they occur at 1 hour t1 min and 1 hours t2 min. Find the value of t1 + t2.
1
\(\frac{{400}}{11} \)
2
\(\frac{{300}}{11} \)
3
\(\frac{{700}}{11} \)
4
\(\frac{{120}}{11} \)