document.write( "Question 270270: working alone, ryan can dig a 10 ft by 10 ft hole in 5 hours. castel can dig the same hole in 6 hours. how long would it take them if they worked together? \n" ); document.write( "

Algebra.Com's Answer #198017 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of digging to get
\n" ); document.write( "the rate of them digging together
\n" ); document.write( "Ryan's rate:
\n" ); document.write( "(1 hole/5 hrs)
\n" ); document.write( "Castel's rate:
\n" ); document.write( "(1 hole /6 hrs)
\n" ); document.write( "I want to add their rates to find
\n" ); document.write( "(1 hole)/(x hrs)
\n" ); document.write( " $\"1%2F5+%2B+1%2F6+=+1%2Fx\"$
\n" ); document.write( "Multiply both sides by $\"30x\"$
\n" ); document.write( " $\"6x+%2B+5x+=+30\"$
\n" ); document.write( " $\"11x+=+30\"$
\n" ); document.write( " $\"x+=+30%2F11\"$
\n" ); document.write( "It will take them about 2.73 hrs
\n" ); document.write( "to dig the hole working together \n" ); document.write( "

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