document.write( "Question 443214: The Smith family and the Jones family are next-door neighbors and are driving to Las Vegas in separate cars for vacation. They are traveling on the same road in the same direction. The Smith family leaves at 8:00am and drives 70mph. Because of a luggage malfunction, the Jones family leaves at 10:00 am and drives 20% faster than the Smith family in an attempt to catch them.\r
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document.write( "A. How long will it take the Jones family to catch the Smith family? 12 hrs
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document.write( "B.At what time of day will this occur? 8 pm
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document.write( "C. How far from the starting point will they be when the Jones family catches the Smith Family? 840 miles
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document.write( "I cannot figure out how to write the equation I figured out the answers on a bar graph \n" );
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Algebra.Com's Answer #305744 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! The Smith family and the Jones family are next-door neighbors and are driving to Las Vegas in separate cars for vacation. They are traveling on the same road in \n" ); document.write( " the same direction. The Smith family leaves at 8:00am and drives 70mph. \n" ); document.write( " Because of a luggage malfunction, the Jones family leaves at 10:00 am and drives \n" ); document.write( " 20% faster than the Smith family in an attempt to catch them. \n" ); document.write( "; \n" ); document.write( "A. How long will it take the Jones family to catch the Smith family? \n" ); document.write( "Let t = travel time of Jones \n" ); document.write( "then \n" ); document.write( "(t+2) = travel time of Smith \n" ); document.write( ": \n" ); document.write( "Find Jones' speed: 1.2(70) = 84 mph \n" ); document.write( ": \n" ); document.write( "When J catches S, they will have traveled the same distance \n" ); document.write( "write a distance equation Dist = speed * time \n" ); document.write( ": \n" ); document.write( "84t = 70(t+2) \n" ); document.write( "84t = 70t + 140 \n" ); document.write( "84t - 70t = 140 \n" ); document.write( "14t = 140 \n" ); document.write( "t = \n" ); document.write( "t = 10 hrs is Jones travel time \n" ); document.write( ": \n" ); document.write( "B.At what time of day will this occur? \n" ); document.write( "10 Am + 10 hrs = 8 Pm \n" ); document.write( ": \n" ); document.write( "C. How far from the starting point will they be when the Jones family catches the Smith Family? \n" ); document.write( "84 * 10 = 840 mi \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the dist of the Smiths \n" ); document.write( "70 * 12 = 840 mi \n" ); document.write( " |