document.write( "Question 615160: A plane is flying from city A to city B at m mph. Another plane flying from B to A travels at 50 mph faster than the first plane. The cities are R miles apart. If both planes depart at the same time, in terms of R and m, how far are they from city A when they pass?
\n" ); document.write( "A) (R/m)+50
\n" ); document.write( "B) (Rm/2m) -50
\n" ); document.write( "C)Rm/2m+50
\n" ); document.write( "D)R+50/m+50
\n" ); document.write( "E)m+50/R
\n" ); document.write( "

Algebra.Com's Answer #386987 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
A plane is flying from city A to city B at m mph. Another plane flying from B to A travels at 50 mph faster than the first plane. The cities are R miles apart. If both planes depart at the same time, in terms of R and m, how far are they from city A when they pass?
\n" ); document.write( "A) (R/m)+50
\n" ); document.write( "B) (Rm/2m) -50
\n" ); document.write( "C)Rm/2m+50
\n" ); document.write( "D)R+50/m+50
\n" ); document.write( "E)m+50/R
\n" ); document.write( "
\r\n" );
document.write( "THey are approaching each other at the sum of their rates which is \r\n" );
document.write( "\r\n" );
document.write( "\"m\" + \"%28m%2B50%29\" \r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "\"2m%2B50\"\r\n" );
document.write( "\r\n" );
document.write( "Since Time = \"Distance%2FRate\", the time until they meet is\r\n" );
document.write( "\r\n" );
document.write( "Time = \"R%2F%282m%2B50%29\" \r\n" );
document.write( "\r\n" );
document.write( "Since Distance = Rate×Time, the plane that left City A has gone \r\n" );
document.write( "\r\n" );
document.write( "\"R%2F%282m%2B50%29\"×\"m\" miles\r\n" );
document.write( "\r\n" );
document.write( " or\r\n" );
document.write( "\r\n" );
document.write( "\"%28Rm%29%2F%282m%2B50%29\" miles\r\n" );
document.write( "\r\n" );
document.write( "You must learn to write algebraic fractions all on one line, since that answer\r\n" );
document.write( "is not any of the choices listed.  When you write fractions all on one line,\r\n" );
document.write( "you must use this \"(\" to show where each numerator or denominator begins,\r\n" );
document.write( "and this \")\" to show where each numerator or denominator ends.  The only\r\n" );
document.write( "exception is when a numerator consists of just one number or just one letter.\r\n" );
document.write( "That's the only time you don't need to put parentheses around numerators and\r\n" );
document.write( "denominators.\r\n" );
document.write( "\r\n" );
document.write( "The choices you gave above amount to these:\r\n" );
document.write( "\r\n" );
document.write( "A) (R/m)+50      means this:  \"expr%28R%2Fm%29\" + \"50\"\r\n" );
document.write( "B) (Rm/2m) -50   means this:  \"R\"×\"m%2F2\"×\"m\" - \"50\"\r\n" );
document.write( "C)Rm/2m+50       means this:  \"R\"×\"m%2F2\"×\"m\" + \"50\" \r\n" );
document.write( "D)R+50/m+50      means this:  \"R\" + \"50%2Fm\" + \"50\"\r\n" );
document.write( "E)m+50/R         means this:  \"m\" + \"50%2FR\"\r\n" );
document.write( "\r\n" );
document.write( "The way to write the correct answer all on one line is (Rm)/(2m+50).\r\n" );
document.write( "I think you meant C) to be that, but as you see without parentheses\r\n" );
document.write( "to show where the numerator and denominator begin and end, it doesn't\r\n" );
document.write( "mean \"%28Rm%29%2F%282m%2B50%29\" at all.   \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );