If it takes 15 minutes for Dante to go to Hidden Lake and 7 minutes to walk back to the Park Office, he spends a total of 15+7=<<15+7=22>>22 minutes on the trip.
When Dante arrives at the Park Office, he will have been gone from the Park Office 32 minutes altogether, and since he passed by the Lake Park restaurant from The Park Office, his walk from Park Office to the Lake Park restaurant took 32-22=<<32-22=10>>10 minutes.
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