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
\n" ); document.write( "\n" ); document.write( "A. How long will it take the Jones family to catch the Smith family? 12 hrs
\n" ); document.write( "B.At what time of day will this occur? 8 pm
\n" ); document.write( "C. How far from the starting point will they be when the Jones family catches the Smith Family? 840 miles
\n" ); document.write( "
\n" ); document.write( "I cannot figure out how to write the equation I figured out the answers on a bar graph
\n" ); document.write( "

Algebra.Com's Answer #305744 by ankor@dixie-net.com(22740)\"\" \"About 
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 = \"140%2F14\"
\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( "
\n" );