document.write( "Question 678128: 8 dug 3/8 of tunnel in 10 days. If they need to finish the remaining 5/8 of the tunnel in 7/3 days, how many more workers must they hire? \n" ); document.write( "

Algebra.Com's Answer #421264 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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8 dug 3/8 of tunnel in 10 days.
\n" ); document.write( " If they need to finish the remaining 5/8 of the tunnel in 7/3 days, how many more workers must they hire?
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\n" ); document.write( "80 man-days to do 3/8 of the tunnel
\n" ); document.write( ":
\n" ); document.write( "let x = no. of man-days to do 5/8 of the tunnel
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\n" ); document.write( " $\"80%2Fx\"$ = $\"%283%2F8%29%2F%285%2F8%29\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( " $\"3%2F8\"$ x = $\"5%2F8\"$ *80
\n" ); document.write( " $\"3%2F8\"$ x = 50
\n" ); document.write( "x = $\"8%2F3\"$ *50
\n" ); document.write( "x = 133.33 man-days to do 5/8 of the tunnel
\n" ); document.write( ":
\n" ); document.write( "let w = additional workers needed to finish in 7/3 days
\n" ); document.write( " $\"7%2F3\"$ (w+10) = 133.33
\n" ); document.write( "Multiply both sides by 3
\n" ); document.write( "7(w + 10) = 3(133.33)
\n" ); document.write( "7w + 70 = 400
\n" ); document.write( "7w = 400 - 70
\n" ); document.write( "7w = 330
\n" ); document.write( "w = 330/7
\n" ); document.write( "w ~ 47 additional men required
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\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this:
\n" ); document.write( " $\"7%2F3\"$ *57 = 133.33 man-days, the amt needed to do 5/8 of the job \n" ); document.write( "

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