document.write( "Question 1188390: Two planes just took off from Boston, MA. The first plane İs traveling 3.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 1312.5 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.) \n" ); document.write( "

Algebra.Com's Answer #819470 by ikleyn(52863) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Two planes just took off from Boston, MA. The first plane is traveling 3.5 times as fast
\n" ); document.write( "as the second plane. After traveling in the same direction for 5 hours, they are 1312.5 miles apart.
\n" ); document.write( "What is the average speed of each plane?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be the rate of the second plane; then the rate of the first plane is 3.5 x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The distance equation between the planes is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    3.5x*5 - 5x = 1312.5\r\n" );
document.write( "\r\n" );
document.write( "    2.5*(5x)    = 1312.5\r\n" );
document.write( "\r\n" );
document.write( "     x    = 1312.5/(2.5*5) = 105 miles per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The second plane speed is 105 mph.\r\n" );
document.write( "\r\n" );
document.write( "         The first plane speed is  3.5*105 = 367.5 mph.\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" );