document.write( "Question 1148982: The average speed of a car is three times as fast as the average speed of a cyclist. To travel 225 km, the cyclist requires 5 h more than the car. Determine the average speed of the cyclist and the car. \n" ); document.write( "

Algebra.Com's Answer #770320 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Let \"x\" be the average speed of the cyclist, in kilometers per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the average speed of the car is  3x km/h.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The time equation, from the condition, is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     -  = 5  hours.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, multiply both sides by 3x.  You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    675 - 225 = 15x\r\n" );
document.write( "\r\n" );
document.write( "    450       = 15x\r\n" );
document.write( "\r\n" );
document.write( "      x       = 450/15 = 30.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The cyclist's average speed is  30km/h.  The car's average speed is 3*30 = 90 km/h.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.    -  =  -  =  -  =  = 5 hours.   ! Correct !\r\n" );
document.write( "

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

\n" );