document.write( "Question 1037742: For a 200km journey if a van had increased its speed by 10 km/h, the journey would have been completed in 1 hour less. What was the original speed of the Van for the journey? \n" ); document.write( "

Algebra.Com's Answer #652378 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "For a 200 km journey if a van had increased its speed by 10 km/h, the journey would have been completed in 1 hour less.
\n" ); document.write( " What was the original speed of the Van for the journey?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let \"v\" be the original speed (in ) which is under the question.\r\n" );
document.write( "In this problem, you are given the difference of times.\r\n" );
document.write( "So, your equation should be based on this difference of times.\r\n" );
document.write( "\r\n" );
document.write( "One time is   = , which is greater.\r\n" );
document.write( "Another time is   = ; it is shorter.\r\n" );
document.write( "Their difference    is 1 hour. Hence, the equation is \r\n" );
document.write( "\r\n" );
document.write( " = 1.\r\n" );
document.write( "\r\n" );
document.write( "To solve it, first multiply both sides by v*(v+10) to rid of the denominators.\r\n" );
document.write( "Then collect like terms and simplify.\r\n" );
document.write( "You will get a quadratic equation. Solve it by any appropriate method\r\n" );
document.write( "(factorization or the the quadratic formula).\r\n" );
document.write( "\r\n" );
document.write( "Please complete it on your own.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );