document.write( "Question 176003: Two rainstorms occurred in one week in a certain area. The first storm lasted 30 hours, and the second storm lasted 20 hours, for a total 1700mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 65mL per hour?
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Algebra.Com's Answer #131150 by ankor@dixie-net.com(22740)\"\" \"About 
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Two rainstorms occurred in one week in a certain area. The first storm lasted 30 hours, and the second storm lasted 20 hours, for a total 1700mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 65mL per hour?
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\n" ); document.write( "Let x = rainfall rate of the 1st storm
\n" ); document.write( "Let y = rainfall rate of the 2nd
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\n" ); document.write( "Total rainfall equation
\n" ); document.write( "30x + 20y = 1700
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\n" ); document.write( "Rain sum per hr equation
\n" ); document.write( "x + y = 65
\n" ); document.write( "or
\n" ); document.write( "y = (65-x)
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\n" ); document.write( "Substitute above for y in the 1st equation:
\n" ); document.write( "30x + 20(65-x) = 1700
\n" ); document.write( "30x + 1300 - 20x = 1700
\n" ); document.write( "30x - 20x = 1700 - 1300
\n" ); document.write( "10x = 400
\n" ); document.write( "x = 40 ml/hr is the 1st storm
\n" ); document.write( "and
\n" ); document.write( "65-40 = 25 ml/hr is the 2nd storm
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\n" ); document.write( "Check solutions in the total rainfall equation
\n" ); document.write( "30(40) + 20(25) =
\n" ); document.write( "1200 + 500 = 1700, confirms our solutions\r
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