document.write( "Question 1197100: If you can complete 8 math problems in 20 minutes. How long should it take to do thirty math problems? Solve and explain
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Algebra.Com's Answer #830196 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "8 problems = 20 min
\n" ); document.write( "8/20 problems = 20/20 min
\n" ); document.write( "0.4 problems = 1 min
\n" ); document.write( "The unit rate is 0.4 problems per minute\r
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\n" ); document.write( "\n" ); document.write( "x = number of minutes
\n" ); document.write( "(unit rate)*(number of minutes) = amount done
\n" ); document.write( "0.4x = 30
\n" ); document.write( "x = 30/0.4
\n" ); document.write( "x = 75
\n" ); document.write( "You'll need 75 minutes to do 30 problems assuming you can keep the same rate going.\r
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\n" ); document.write( "\n" ); document.write( "Side note:
\n" ); document.write( "75 min = 60 min + 15 min = 1 hour + 15 min
\n" ); document.write( "or
\n" ); document.write( "75 min = 1 hour + 15 min = 1 hour + (15/60) hour = 1 hour + 0.25 hour = 1.25 hours\r
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\n" ); document.write( "\n" ); document.write( "Method 2\r
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\n" ); document.write( "\n" ); document.write( "(8 problems)/(20 min) = (30 problems)/(x minutes)
\n" ); document.write( "8/20 = 30/x
\n" ); document.write( "8x = 20*30
\n" ); document.write( "8x = 600
\n" ); document.write( "x = 600/8
\n" ); document.write( "x = 75\r
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\n" ); document.write( "\n" ); document.write( "Answer: 75 minutes
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