document.write( "Question 129781: A man travels regularly between two cities . He takes 14/3hours , if he travels at his usual speed . He finds that if he increases his speed by 3km/h , he can reduce the time by 1/3 hour . What is his usual speed ?
\n" ); document.write( "Pls help \n" ); document.write( "

Algebra.Com's Answer #94777 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"r\"$ be his usual speed
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"d+=+r%2A%2814%2F3%29\"$
\n" ); document.write( " $\"d+=+%28r+%2B+3%29%2A%2813%2F3%29\"$
\n" ); document.write( "Set the $\"d\"$ 's equal to eachother
\n" ); document.write( " $\"r%2A%2814%2F3%29+=+%28r+%2B+3%29%2A%2813%2F3%29\"$
\n" ); document.write( "multiply each side by $\"3\"$
\n" ); document.write( " $\"14r+=+13%28r+%2B+3%29\"$
\n" ); document.write( " $\"14r+=+13r+%2B+39\"$
\n" ); document.write( " $\"r+=+39\"$
\n" ); document.write( "His usual speed is 39 km/hr
\n" ); document.write( "check answer:
\n" ); document.write( " $\"d+=+r%2A%2814%2F3%29\"$
\n" ); document.write( " $\"d+=+39%2A%2814%2F3%29\"$
\n" ); document.write( " $\"d+=+182\"$
\n" ); document.write( " $\"d+=+%28r+%2B+3%29%2A%2813%2F3%29\"$
\n" ); document.write( " $\"d+=+42%2A%2813%2F3%29\"$
\n" ); document.write( " $\"d+=+182\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );