document.write( "Question 1091624: Ramesh and Narendra start from the same place and arrive at another place in 40 minutes and 60 minutes respectively.
\n" ); document.write( "If Narendra starts 10 minute earlier than Ramesh, how much time Ramesh will take to reach Narendra.
\n" ); document.write( "

Algebra.Com's Answer #706082 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Let our clock/chronometer starts (t=0) at the moment When Narendra starts.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Let D be the distance between the starting and ending points.\r\n" );
document.write( "\r\n" );
document.write( "    Then  the Ramesh    rate of move is  \"D%2F40\"  linear units per minute, \r\n" );
document.write( "    while the Narendra  rate of move is  \"D%2F60\" linear units per minute.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The equation for Narendra position is \"X%5BN%5D%28t%29\" = \"t%2A%28D%2F60%29\",       0 <= t <=60\r\n" );
document.write( "\r\n" );
document.write( "The equation for Ramesh   position is \"X%5BR%5D%28t%29\" = \"%28t-10%29%2A%28D%2F40%29\",  10 <= t <= 40.\r\n" );
document.write( "\r\n" );
document.write( "The time moment when Ramesh will take to reach Narendra is determined from the equation  \r\n" );
document.write( "\r\n" );
document.write( "\"X%5BN%5D%28t%29\" = \"X%5BR%5D%28t%29\",    or\r\n" );
document.write( "\r\n" );
document.write( "\"t%2A%28D%2F60%29\" = \"%28t-10%29%2A%28D%2F40%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, first cancel D in both side, and then multiply both sides by 240. You will get an equivalent equation\r\n" );
document.write( "\r\n" );
document.write( "4t = 6*(t-10)  ====>  4t = 6t - 60  ====>  2t = 60  ====>  t = \"60%2F2\" = 30.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Ramesh will take Narendra in 30 minutes after Narendra started, or in 30-10 = 20 minutes after Ramesh started.\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" ); document.write( "
\n" );