document.write( "Question 662380: Hi. I need help with this word problem.
\n" ); document.write( "Samantha rides the ski lift to the top of blue mountain, a distance of 1 3/4 kilometers. She then skis directly down the slope. If she skis 5 times as fast as the lift travels, and the total trip takes 45 minutes, find the rate at which she skis.\r
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Algebra.Com's Answer #412178 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the lift in km/hr
\n" ); document.write( "\"+5s+\" = speed skiing in km/hr
\n" ); document.write( "Let \"+t+\" = time to go up mountain on lift in hrs
\n" ); document.write( "\"+3%2F4+-+t+\" = time spent skiing in hrs
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\n" ); document.write( "Equation for lift:
\n" ); document.write( "(1) \"+7%2F4+=+s%2At+\"
\n" ); document.write( "Equation for skiing:
\n" ); document.write( "(2) \"+7%2F4+=+5s%2A%28+3%2F4+-+t+%29+\"
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\n" ); document.write( "(1) \"+t+=+%287%2F4%29%2A%281%2Fs%29+\"
\n" ); document.write( "Substitute this into (2)
\n" ); document.write( "(2) \"+7%2F4+=+5s%2A%28+3%2F4+-+%287%2F4%29%2A%281%2Fs%29+%29+\"
\n" ); document.write( "(2) \"+7%2F4+=+%281%2F4%29%2A%28+15s+-+7%2Fs%29+\"
\n" ); document.write( "(2) \"+7+=+15s+-+7%2Fs+\"
\n" ); document.write( "(2) \"+7s+=+15s%5E2+-+7+\"
\n" ); document.write( "(2) \"+15s%5E2+-+7s+-+7+=+0+\"
\n" ); document.write( "Use the quadratic equation to solve for \"s\" in km/hr
\n" ); document.write( "Have to run- good luck\r
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