document.write( "Question 722402: a bus leaves at 5.00pm for a 273 mile trip to vegas.this week it left at 5:15pm.to arrive in vegas on time the driver drives 7 miles per hour faster than usual.what is the usual speed ? \n" ); document.write( "
Algebra.Com's Answer #442738 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Usual speed= x \n" ); document.write( "Distance = 273 miles \n" ); document.write( "speed increased by 7 miles/h \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "It leaves 1/4 hour late reaches on time \n" ); document.write( "It takes 1/4 hour less \n" ); document.write( " \n" ); document.write( "Usual Time- time taken today = 1/4 \n" ); document.write( " \n" ); document.write( "273 /x- 273 /(x+ 7 )= 1/4 \n" ); document.write( " \n" ); document.write( "Multiply by the LCD \n" ); document.write( " \n" ); document.write( "273 * 4 (x+ 7 )- 273 * 4 x= x(x+ 4 ) \n" ); document.write( "1092 (x+ 7 )- 1092 x= X^2 + 4 x \n" ); document.write( "1092 x+ 7644 - 1092 x= X^2 + 4 x \n" ); document.write( "x^2+ 4 x= 7644 \n" ); document.write( "complete the squares \n" ); document.write( " \n" ); document.write( "(x+ 2 )^2= 7644+ 4 \n" ); document.write( "take the square root \n" ); document.write( " \n" ); document.write( "x+ 2 =+/- \n" ); document.write( " \n" ); document.write( "x+ 2 =+/- 87.45 \n" ); document.write( " \n" ); document.write( "so x = 85.45Usual speed= x \n" ); document.write( "Distance = 273 miles \n" ); document.write( "speed increased by 7 miles/h \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "It leaves 1/4 hour late reaches on time \n" ); document.write( "It takes 1/4 hour less \n" ); document.write( " \n" ); document.write( "Usual Time- time taken today = 1/4 4 \n" ); document.write( " \n" ); document.write( "273 /x- 273 /(x+ 7 )= 1/4 \n" ); document.write( " \n" ); document.write( "Multiply by the LCD \n" ); document.write( " \n" ); document.write( "273 * 4 (x+ 7 )- 273 * 4 x= x(x+ 4 ) \n" ); document.write( "1092 (x+ 7 )- 1092 x= X^2 + 4 x \n" ); document.write( "1092 x+ 7644 - 1092 x= X^2 + 4 x \n" ); document.write( "x^2 4 x- 7644 =0 \n" ); document.write( "complete the squares \n" ); document.write( " \n" ); document.write( "(x+ 2 )^2= 7644 4 \n" ); document.write( "take the square root \n" ); document.write( " \n" ); document.write( "x+ 2 =+/- sqrt( 7648 ) \n" ); document.write( " \n" ); document.write( "x+ 2 =+/- 87.45 \n" ); document.write( " \n" ); document.write( "so x = 85.45 mph usual speed \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |