document.write( "Question 1029290: one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane. \n" ); document.write( "

Algebra.Com's Answer #644343 by josgarithmetic(39625) $\"\"$ $\"About$

You can put this solution on YOUR website!
Travel rates rule, RT=D\r
\n" ); document.write( "\n" ); document.write( "The faster plane goes the larger distance;
\n" ); document.write( "\"while\", indicated that the time quantities are equal for both planes\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "                  rate            time            distance\r\n" );
document.write( "\r\n" );
document.write( "oneplane          r+80            t                1750\r\n" );
document.write( "\r\n" );
document.write( "otherplane        r               t                 950\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " $\"system%28%28r%2B80%29t=1750%2Crt=950%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"system%28t=1750%2F%28r%2B80%29%2Ct=950%2Fr%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1750%2F%28r%2B80%29=950%2Fr\"$ ------solve this for r.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note that another way is to start at the first shown system, perform the multiplication for the first equation (of the faster plane), and solve for t; and then use the second equation to solve for the value of r. \n" ); document.write( "

\n" );