document.write( "Question 417588: 8) One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together \n" ); document.write( "
Algebra.Com's Answer #292330 by nerdybill(7384)\"\" \"About 
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One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together
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\n" ); document.write( "Let x = time(minutes) it takes for both
\n" ); document.write( "then
\n" ); document.write( "x(1/40 + 1/60) = 1
\n" ); document.write( "multiplying both sides by (40)(60):
\n" ); document.write( "x(60 + 40) = (40)(60)
\n" ); document.write( "100x = (40)(60)
\n" ); document.write( "x = (40)(60)/100
\n" ); document.write( "x = 2400/100
\n" ); document.write( "x = 24 minutes\r
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