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.
At 6 m/hr and 5 m/hr when wil the total be 16 miles
Clair arrives at finish in 16/6 = 8/3 hr
Megan is at milepost 5 * 8/3 = 40/3 miles with 16 - 40/3 miles to go =8/3 mile
closing speed then becomes 6+5 = 11 miles/hr
8/3 mile / 11 m/hr = 8/33 hr to meet
16 - 8/33*6 = milepost = 14.55 miles from finish = .455 miles to go
+1641 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.
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The ratio of Claire's (C) speed to Megan's (M) speed is 6:5
C jogs 16 miles while M jogs 131/3 miles
The difference is 22/3 miles
(22/3 - M) / M = 6/5 M = 1 21/99
16 - (13 1/3 + 1 21/99) = 1 5/11
Claire jogged 17 5/11 miles, while Megan jogged 'only' 14 6/11 miles.
(17 5/11 ) / (14 6/11 ) = 6 / 5
