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stuck on algebra question please help! and an explanation would be appreciated:)

label Algebra
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I drove to in lasvegas at an average speed of 55mph. i returned home same route average speed 50mph. if the trip took 30 mins longer than the trip to lasvegas, how long was the trip to lasvegas to my home?

Oct 18th, 2017

Let x be the distance

x/50 -x/55 = 1/2

x(55-50)/(50*55) =1/2

x*5/(50*55) =1/2

x/(10*55) =1/2

x = 1/2 *10*55 =5*55 =275

Distance = 275 miles


Jan 5th, 2015

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