document.write( "Question 497557: at 900am two people leave their homes that are 15 miles apart walking toward each other. if one person walks at a rate 4mph faster than the other and they meet after 1.5 hours, how fast was each person walking? \n" ); document.write( "
Algebra.Com's Answer #336759 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! Let d = the distance traveled by the slower person \n" ); document.write( "Then 15 - d = the distance traveled by the faster person \n" ); document.write( "Let s = the slower person's speed \n" ); document.write( "Then s + 4 = the faster person's speed \n" ); document.write( "Since speed = distance/time, and the time is 1.5 h, the slower person's speed is: \n" ); document.write( "s = d/1.5 [1] \n" ); document.write( "And the faster person's speed is: \n" ); document.write( "s + 4 = (15 - d)/1.5 [2] \n" ); document.write( "Solve for s in [1] and substitute into [2]: \n" ); document.write( "s + 4 = (15 - 1.5s)/1.5 \n" ); document.write( "s + 4 = 10 - s \n" ); document.write( "2s = 6 \n" ); document.write( "s = 3 \n" ); document.write( "Therefore, their speeds are 3 mph and 7 mph \n" ); document.write( " |