document.write( "Question 97911: One morning, John drove 5 hours before stopping to eat. After lunch he increased his speed by 10 mph. If he completed a 430 mile trip in 8 hrs of driving time, how fast did he drive in the morning? \n" ); document.write( "
Algebra.Com's Answer #71217 by rajagopalan(174)![]() ![]() You can put this solution on YOUR website! Let the morning speed =x \n" ); document.write( "Driving time 5 hrs \n" ); document.write( "Distance covered = speedxtime =5x........D1 \n" ); document.write( "Post lunch travel time =8-5=3 \n" ); document.write( "Post lunch speed=x+10 \n" ); document.write( "Post Lunch Distance covered = speedxtime =3(x+10)=3x+30......D2 \n" ); document.write( "Total distance covered=D1+D2=5x+3x+30 \n" ); document.write( "But 5x+3x+30 = 430 \n" ); document.write( "8x+30=430 \n" ); document.write( "8x=430-30 \n" ); document.write( "8x=400 \n" ); document.write( "x=400/8=50 \n" ); document.write( "The speed in the morning = 50 mph \n" ); document.write( " \n" ); document.write( " |