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

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?

Jan 5th, 2015

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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