document.write( "Question 147020: Solve the following word problems:\r
\n" ); document.write( "\n" ); document.write( "A: Tina can run 12 miles in the same time it takes her ti bicycle 72 miles. If her bicycling rate is 20 miles/hour faster than her running rate, find each rate.\r
\n" ); document.write( "\n" ); document.write( "B: Kevin earned $165 interest for 1 year on investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
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Algebra.Com's Answer #107410 by ankor@dixie-net.com(22740)\"\" \"About 
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A: Tina can run 12 miles in the same time it takes her to bicycle 72 miles. If her bicycling rate is 20 miles/hour faster than her running rate, find each rate.
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\n" ); document.write( "Let s = T's running speed
\n" ); document.write( "then
\n" ); document.write( "(s+20) = T's biking speed
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\n" ); document.write( "Write a time equation: Time = \"distance%2Fspeed\"
\n" ); document.write( "Time to Bike 72 mi = Time to run 12 mi
\n" ); document.write( "\"72%2F%28%28s%2B20%29%29\" = \"12%2Fs\"
\n" ); document.write( "Cross multiply, find s:
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\n" ); document.write( "72s = 12(s+20)
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\n" ); document.write( "72s = 12s + 240
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\n" ); document.write( "72s - 12x = 240
\n" ); document.write( "s = \"240%2F60\"
\n" ); document.write( "s = 4 mph is T's running speed
\n" ); document.write( "and
\n" ); document.write( "24 mph is T's biking speed
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\n" ); document.write( "Check solutions to see if the times are equal
\n" ); document.write( "72/24 = 3 hrs
\n" ); document.write( "12/4 = 3 hrs
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\n" ); document.write( "B: Kevin earned $165 interest for 1 year on investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
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\n" ); document.write( "Using the interest formula PRT = I; here t = 1 so it is just:
\n" ); document.write( "1500R = 165
\n" ); document.write( "R = \"165%2F1500\"
\n" ); document.write( "R = .11 or 11% interest
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\n" ); document.write( "For $2500 at 11%
\n" ); document.write( ".11 * 2500 = $275
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\n" ); document.write( "You can also use ratio: (x = interest amt on $2500))
\n" ); document.write( "\"x%2F165\" = \"2500%2F1500\"
\n" ); document.write( "1500x = 165 * 2500
\n" ); document.write( "x = \"412500%2F1500\"
\n" ); document.write( "x = $275
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