document.write( "Question 86341: Solve the following word problems. Be sure to show the equation you use for the solution.\r
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document.write( "Science and medicine. Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina? \n" );
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Algebra.Com's Answer #62521 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Martina leaves home at 9 A.M., bicycling at a rate of \n" ); document.write( "24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina? \n" ); document.write( ": \n" ); document.write( "Let t = J's traveling time \n" ); document.write( "Then \n" ); document.write( "(t+2) = M's traveling time \n" ); document.write( ": \n" ); document.write( "We know that when J catches up with M, they will have traveled the same distance \n" ); document.write( "Using this fact, write a distance equation: Dist = speed * time \n" ); document.write( ": \n" ); document.write( "J's distance = M's distance \n" ); document.write( "48t = 24(t+2) \n" ); document.write( ": \n" ); document.write( "48t = 24t + 48 \n" ); document.write( ": \n" ); document.write( "48t - 24t = 48 \n" ); document.write( ": \n" ); document.write( "24t = 48 \n" ); document.write( ": \n" ); document.write( "t = 2 hrs, traveling time of J \n" ); document.write( ": \n" ); document.write( "Time on the clock: 9 + 2 + 2 = 13 or 1 PM \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution using distances (M's time is 4hr) \n" ); document.write( "2*48 = 4*24 \n" ); document.write( " |