If Khalil wants to finish the hike by 2:58 P.M. and the hike up the mountain will take 2 hours and 33 minutes, then he needs to start the hike up the mountain at 12:25 P.M. (2:58 P.M. minus 2 hours and 33 minutes).
If the hike back down will take 49 minutes, then Khalil will finish the hike at 3:47 P.M. (2:58 P.M. plus 49 minutes).