document.write( "Question 893801: Howard and Rineville are 100 miles apart. One train leaves Howard traveling towards Rineville at an average speed of 30 mph. Another train leaves Rineville at the same time traveling towards Howard at an average speed of 45 mph. a. How long will it take them to meet? \n" ); document.write( "
Algebra.Com's Answer #541497 by algebrahouse.com(1659) You can put this solution on YOUR website! Distance = rate x time \n" ); document.write( "d = rt\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One train: \n" ); document.write( "distance = d \n" ); document.write( "rate = 30 \n" ); document.write( "time = t \n" ); document.write( "d = 30t {distance = rate x time}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Other train: \n" ); document.write( "distance = d \n" ); document.write( "rate = 45 \n" ); document.write( "time = t \n" ); document.write( "d = 45t {distance = rate x time}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30t + 45t = 100 {the combined distance of the two trains, when they meet, is 100} \n" ); document.write( "75t = 100 {combined like terms} \n" ); document.write( "t = 1 1/3 hours\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In 1 hour and 20 minutes they will meet \n" ); document.write( " For more help from me, visit: www.algebrahouse.com Also, you can Follow @AlgebraHouse on Twitter \n" ); document.write( " |