document.write( "Question 205480This question is from textbook Longman Mathematics for IGCSE Book 1
\n" ); document.write( ": Ethan goes on a charity journey. He walks one-tenth of the way at 6km/h, runs one-sixth at 12 km/h, cycles one-fifth at 24km/h, completes the remaining 32km by car at 48km/h. How many kilometres does he travel and how long does it take? \n" ); document.write( "

Algebra.Com's Answer #155089 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ethan goes on a charity journey. He walks one-tenth of the way at 6km/h, runs one-sixth at 12 km/h, cycles one-fifth at 24km/h, completes thje remaining 32km by car at 48km/h. How many kilometers does he travel and how long it take?
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Let the total distance = D km.\r\n" );
document.write( "\r\n" );
document.write( "Distance walking = \r\n" );
document.write( "\r\n" );
document.write( "Distance running = \r\n" );
document.write( "\r\n" );
document.write( "Distance cycling = \r\n" );
document.write( "\r\n" );
document.write( "Distance by car = \r\n" );
document.write( "\r\n" );
document.write( "Total distance =   \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The LCD is 30. So we multiply every term by 30:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Subtract 960 from both sides:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Subtract 30D from both sides:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by -16\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So his total distance is 60 km.\r\n" );
document.write( "\r\n" );
document.write( "Distance walking = \r\n" );
document.write( "\r\n" );
document.write( "Distance running = \r\n" );
document.write( "\r\n" );
document.write( "Distance cycling = \r\n" );
document.write( "\r\n" );
document.write( "Distance by car = \r\n" );
document.write( "\r\n" );
document.write( "Now we use  \r\n" );
document.write( "\r\n" );
document.write( "Time walking = \r\n" );
document.write( "\r\n" );
document.write( "Time running = \r\n" );
document.write( "\r\n" );
document.write( "Time cycling = \r\n" );
document.write( "\r\n" );
document.write( "Time by car =  \r\n" );
document.write( "\r\n" );
document.write( "Total time = \r\n" );
document.write( "\r\n" );
document.write( "Total time = \r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );