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?

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

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