document.write( "Question 934859: One bus route takes 25 minutes and the other bus route takes 55 minutes both buses leave the bus stop at 6 am and run continuously what is the next time that the buses will be at the stop together ? \n" ); document.write( "

Algebra.Com's Answer #567939 by josmiceli(19441) $\"\"$ $\"About$

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I want whole numbers $\"+a+\"$ and $\"+b+\"$
\n" ); document.write( "such that:
\n" ); document.write( " $\"+25a+=+55b+\"$
\n" ); document.write( "This is saying:
\n" ); document.write( "( route time for bus a ) x ( number of time a's route repeated ) =
\n" ); document.write( "( route time for bus b ) x ( number of time b's route repeated )
\n" ); document.write( "I know that this would be true:
\n" ); document.write( " $\"+25%2A55+=+55%2A25+\"$ , so I can start with
\n" ); document.write( " $\"+a+=+55+\"$
\n" ); document.write( " $\"+b+=+25+\"$
\n" ); document.write( "Divide both $\"a\"$ and $\"b\"$ by $\"+5+\"$
\n" ); document.write( " $\"+25%2A11+=+55%2A5+\"$
\n" ); document.write( "This is ( total time for route a ) = ( total time for route b ), or
\n" ); document.write( " $\"+275+=+275+\"$
\n" ); document.write( "Add $\"+275+\"$ min to 6 AM
\n" ); document.write( " $\"+275+%2F+60+=+4+%2B+35%2F60+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+6+%2B+4+%2B+35%2F60+\"$ = 10:35 AM
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