SOLUTION: Alexander and Judy are 32 miles apart on a calm lake paddling toward each other. Alexander paddles at 5 miles per hour, while Judy paddles at 8 miles per hour. how long will it tak

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Question 880552: Alexander and Judy are 32 miles apart on a calm lake paddling toward each other. Alexander paddles at 5 miles per hour, while Judy paddles at 8 miles per hour. how long will it take them to meet?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Alexander and Judy are 32 miles apart on a calm lake paddling toward each other. Alexander paddles at 5 miles per hour, while Judy paddles at 8 miles per hour. how long will it take them to meet?
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let x=distance alex traveled
32-x=distance judy traveled
travel time=distance/speed (same for both)
x%2F5=%2832-x%29%2F8
8x=5(32-x)=160-5x
13x=160
x=160/13
travel time(for alex)=x/5=(160/13)/5≈2.46 hr
travel time(for judy)=(32-x)/8=(32-(160/13))/8≈2.46 hr
how long will it take them to meet? 2.46 hrs