document.write( "Question 947868: How do i solve a problem with time, where a person drives 100miles in rain but when the rain stopped they drove 15miles faster for another 250 miles. If his total drive time was 10 hours how fast did he drive while it was raining? If i can get the equation then I can solve it but i have nothing like this on my notes and nothing like this in my book \n" ); document.write( "
Algebra.Com's Answer #578465 by lwsshak3(11628)\"\" \"About 
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How do i solve a problem with time, where a person drives 100miles in rain but when the rain stopped they drove 15miles faster for another 250 miles. If his total drive time was 10 hours how fast did he drive while it was raining?
\n" ); document.write( "***
\n" ); document.write( "let x=speed while driving 100 miles in the rain
\n" ); document.write( "x+15=speed while driving 250 miles after rain stopped
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( "\"100%2Fx%2B250%2F%28x%2B15%29=10\"
\n" ); document.write( "lcd:x(x+15)
\n" ); document.write( "250x+100x+1500=10x(x+15)
\n" ); document.write( "10x^2+150x=350x+1500
\n" ); document.write( "10x^2-200x-1500=0
\n" ); document.write( "x^2-20x-150=0
\n" ); document.write( "solve for x by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=-20, c=-150
\n" ); document.write( "ans:
\n" ); document.write( "x≈25.8
\n" ); document.write( "how fast did he drive while it was raining? 25.8 mph
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