Answer
The orbital period $T$ for Picard's elliptical orbit is shorter than Igor's by
$$
\Delta T=T_{0}-T=5540 \mathrm{s}-5370 \mathrm{s}=170 \mathrm{s}
$$
Thus, Picard will arrive back at point $P$ ahead of Igor by $170 \mathrm{s}-90 \mathrm{s}=80 \mathrm{s}$
Work Step by Step
The orbital period $T$ for Picard's elliptical orbit is shorter than Igor's by
$$
\Delta T=T_{0}-T=5540 \mathrm{s}-5370 \mathrm{s}=170 \mathrm{s}
$$
Thus, Picard will arrive back at point $P$ ahead of Igor by $170 \mathrm{s}-90 \mathrm{s}=80 \mathrm{s}$