document.write( "Question 62098: 2 trains left the same city at the same time, traveling in opposite directions. the eastbound train traveles for 10 hours, and the westbound train traveles for 5 hours. They are now 1300 km. apart. the westbound train's rate is 20 km/h faster than the eastbound train. Find the rate of the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #42891 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 2 trains left the same city at the same time, traveling in opposite directions. the eastbound train travels for 10 hours, and the westbound train travels for 5 hours. They are now 1300 km. apart. the westbound train's rate is 20 km/h faster than the eastbound train. Find the rate of the speed of each train. \n" ); document.write( ": \n" ); document.write( "Let s = speed of the slower train: \n" ); document.write( "Then (s+20) = speed of the faster train \n" ); document.write( ": \n" ); document.write( "Dist = time * speed \n" ); document.write( ": \n" ); document.write( "Eastbound dist + westbound dist = 1300 \n" ); document.write( "10s + 5(s+20) = 1300 \n" ); document.write( "10s + 5s + 100 = 1300 \n" ); document.write( "15s = 1300 - 100 \n" ); document.write( "15s = 1200 \n" ); document.write( "s = 1200/15 \n" ); document.write( "s = 80 mph for slow one and 100 mph for the fast one \n" ); document.write( ": \n" ); document.write( "Check 80*10 + 100*5 = 1300 \n" ); document.write( ": \n" ); document.write( "How about this? Did it make sense to you? \n" ); document.write( " \n" ); document.write( " |