Hiking the Franconia Ridge

Algebra Level 5

Alex and Bob, two hikers, are both doing the Franconia Ridge Trail. They both depart from the START (a parking lot) at sunrise and both walk at constant speed. Alex takes the Falling Waters Trail and Bob takes the the Old Bridle Path

They pass each other, on the Franconia Ridge Trail, at 11:00 am.
Alex gets back to the parking lot , via the Old Bridle Path, at 3:00 pm and Bob gets back to the parking lot, via the Falling Waters Trail, at 8:00 pm.

At what time was the sunrise on that day?

If the sunrise was at \(wx:yz\) (using the 24-hour time system), then submit your answer as \(w+x+y+z\).


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