Claire jogs 6 miles per hour and Megan jogs 5 miles per hour. They start together at their campsite and jog to an outpost 16 miles away. When Claire gets there, she immediately turns around and heads back towards Megan. How many miles will they be from the outpost when they meet? Express your answer as a mixed number.
When Claire gets to the outpost......Megan will be 5/6 of the way there....so....she will have jogged (5/6)16 = 40/3 mi
So....she is 16 - 40/3 = 48/3 -40/3 = 8/3 miles from the outpost
The time it will take for them to meet (in hrs) =
(8/3 mi) / their combined rates = 11mi/hr
(8/3) m / 11 m /hr = 8/33 hrs
So..... from Claire's point of view she jogs back 6 m/h ( 8/33)h = 48/33 mi
So.....they meet 48//33 mi from the outpost = 1 + 15/33 miles from the outpost