document.write( "Question 504055: Robert goes for a walk at a speed of 3 miles per hour. Two hours later Roger attempts to overtake him by jogging at the rate of 7 miles per hour. How long will it take him to reach Robert? \n" ); document.write( "
Algebra.Com's Answer #339559 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Robert goes for a walk at a speed of 3 miles per hour.
\n" ); document.write( " Two hours later Roger attempts to overtake him by jogging at the rate of 7 miles per hour.
\n" ); document.write( " How long will it take him to reach Robert?
\n" ); document.write( ":
\n" ); document.write( "Let t = jogging time of Roger when overtakes Robert
\n" ); document.write( "then
\n" ); document.write( "(t+2) = walking time of Robert when he is overtaken
\n" ); document.write( ":
\n" ); document.write( "When this happens, they will both have traveled the same distance.
\n" ); document.write( "Write distance equation: dist = speed * time
\n" ); document.write( ";
\n" ); document.write( "Rog dist = Rob dist
\n" ); document.write( "7t = 3(t+2)
\n" ); document.write( "7t = 3t + 6
\n" ); document.write( "7t - 3t = 6
\n" ); document.write( "4t = 6
\n" ); document.write( "t = 6/4
\n" ); document.write( "t = 1.5 hrs of for Rog to overtake Rob
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check by finding the distances, they should be equal
\n" ); document.write( "7*1.5 = 10.5 mi
\n" ); document.write( "3(3.5) = 10.5 mi \n" ); document.write( "
\n" );