document.write( "Question 485302: One person can shovel the snow from a sidewalk in 2 hours and another person canshovel the same sidewalk in 1.5 hours. How long will it take for them to shovel the snow from the sidewalk if they work together?
\n" ); document.write( "I need a detailed solution and please if I can get the answer asap
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #331930 by stanbon(75887) $\"\"$ $\"About$

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One person can shovel the snow from a sidewalk in 2 hours and another person canshovel the same sidewalk in 1.5 hours. How long will it take for them to shovel the snow from the sidewalk if they work together?
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\n" ); document.write( "1st Person DATA:
\n" ); document.write( "time = 2 hrs/job ; rate = 1/2 job/hr
\n" ); document.write( "---
\n" ); document.write( "2nd Person DATA:
\n" ); document.write( "time = 3/2 hrs/job ; rate = 2/3 job/hr
\n" ); document.write( "---
\n" ); document.write( "Together DATA:
\n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr
\n" ); document.write( "------------------------------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/2 + 2/3 = 1/x
\n" ); document.write( "Multiply thru by 6x to get:
\n" ); document.write( "3x + 4x = 6
\n" ); document.write( "7x = 6
\n" ); document.write( "x = 7/6 hr = 1 hr 10 minutes
\n" ); document.write( "That is the time for the 2 persons to do the
\n" ); document.write( "job working together.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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