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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.

 Apr 25, 2021
 #1
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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

 

So

 

(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

 

 

cool cool cool

 Apr 25, 2021

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