document.write( "Question 765115: a and b can cover certain distance in 2hours 30 minutes,a can cover the same in 3hours 30 minutes,in how many hours b alone take to cover the same distance \n" ); document.write( "

Algebra.Com's Answer #465967 by josmiceli(19441) $\"\"$ $\"About$

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This is a rate problem. Add their rate of covering
\n" ); document.write( "distance to get their rate working together.
\n" ); document.write( "a's rate is ( 1 distance covered ) / ( 3.5 hrs )
\n" ); document.write( "a and b together rate: ( 1 distance covered ) / ( 2.5 hrs )
\n" ); document.write( "Let $\"+t+\"$ = hrs for b alone to cover distance
\n" ); document.write( "--------------------
\n" ); document.write( " $\"+1%2F3.5+%2B+1%2Ft+=+1%2F2.5+\"$
\n" ); document.write( "Multiply both sides by $\"+2.5%2A3.5%2At+\"$
\n" ); document.write( " $\"+2.5t+%2B+2.5%2A3.5+=+3.5t+\"$
\n" ); document.write( " $\"+2.5t+%2B+8.75+=+3.5t+\"$
\n" ); document.write( " $\"+t+=+8.75+\"$
\n" ); document.write( "b alone takes 8 hrs and 45 min to cover the same distance
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F3.5+%2B+1%2Ft+=+1%2F2.5+\"$
\n" ); document.write( " $\"+1%2F3.5+%2B+1%2F8.75+=+1%2F2.5+\"$
\n" ); document.write( " $\"+.2857+%2B+.1143+=+.4+\"$
\n" ); document.write( " $\"+.4+=+.4+\"$
\n" ); document.write( "OK \n" ); document.write( "

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