document.write( "Question 363419: Nan and Peg started on trips from New York City and traveled in opposite directions. Nan traveled 10 mph faster than Peg. If they were 450 miles apart after 5 hours, how fast was each person traveling? \n" ); document.write( "
Algebra.Com's Answer #259144 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Nan and Peg started on trips from New York City and traveled in opposite directions. Nan traveled 10 mph faster than Peg. If they were 450 miles apart after 5 hours, how fast was each person traveling? \n" ); document.write( "... \n" ); document.write( "peg speed = xmph \n" ); document.write( "Nan speed = x+10 mph \n" ); document.write( "... \n" ); document.write( "they travel in opposite directions \n" ); document.write( "so speed is added up \n" ); document.write( "x+x+10=2x+10 \n" ); document.write( "distance = 450 miles \n" ); document.write( ".. \n" ); document.write( "time = 5 hours \n" ); document.write( "... \n" ); document.write( "450/(2x+10)=5 \n" ); document.write( "450=5(2x+10) \n" ); document.write( "450=10x+50 \n" ); document.write( "add -50 \n" ); document.write( "450-50=10x+50-50 \n" ); document.write( "400=10x \n" ); document.write( "x=400/10 \n" ); document.write( "x= 40 mph Peg's speed \n" ); document.write( "Nan's speed = 40+10=50 mph \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |