document.write( "Question 203472This question is from textbook
\n" ); document.write( ": Ride the peaks. Smith bicycled 45 miles going east from
\n" ); document.write( "Durango, and Jones bicycled 70 miles. Jones averaged
\n" ); document.write( "5 miles per hour more than Smith, and his trip took one-half
\n" ); document.write( "hour longer than Smith’s. How fast was each one traveling?\r
\n" ); document.write( "\n" ); document.write( "I am not sure if i am suppose to use the D=r*t.\r
\n" ); document.write( "\n" ); document.write( "I am confused on how to set it up.\r
\n" ); document.write( "\n" ); document.write( "I know that smith's distance is 45 miles
\n" ); document.write( "and Jones distance is 70 miles
\n" ); document.write( "I am confused on how to write the part where Johes goes 5 miles per hour more then Smith and took one half hour longer then smith. \n" ); document.write( "
Algebra.Com's Answer #153506 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles.
\n" ); document.write( "Jones averaged 5 miles per hour more than Smith,
\n" ); document.write( " and his trip took one-half hour longer than Smith’s.
\n" ); document.write( " How fast was each one traveling?
\n" ); document.write( ":
\n" ); document.write( "Let s = D's speed
\n" ); document.write( "then
\n" ); document.write( "(s+5) = J's speed
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = \"dist%2Fspeed\"
\n" ); document.write( ":
\n" ); document.write( "Smith's time = Jones' time - .5 hrs
\n" ); document.write( "\"45%2Fs\" = \"70%2F%28%28s%2B5%29%29\" - .5
\n" ); document.write( "Multiply equation by s(s+5)
\n" ); document.write( "s(s+5)*\"45%2Fs\" = s(s+5)*\"70%2F%28%28s%2B5%29%29\" - .5s(s+5)
\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( "45(s+5) = 70s - .5s^2 - 2.5s
\n" ); document.write( ":
\n" ); document.write( "45s + 225 = 70s - .5s^2 - 2.5s
\n" ); document.write( "arrange as a quadratic equation on the left
\n" ); document.write( ".5s^2 + 2.5s + 45s - 70s + 225 = 0
\n" ); document.write( ":
\n" ); document.write( ".5s^2 - 22.5s + 225 = 0
\n" ); document.write( "Multiply equation by 2, get rid of the decimals
\n" ); document.write( "s^2 - 45s + 450 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(s - 15)(s - 30) = 0
\n" ); document.write( "Two good solutions
\n" ); document.write( "s = 15 mph is Smith's speed, then 20 mph is Jones' speed
\n" ); document.write( "and
\n" ); document.write( "s = 30 mph is Smith's speed, then 35 mph is Jones' speed
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\n" ); document.write( "Check solutions, find the time for each trip
\n" ); document.write( "Smith: 45/15 = 3 hr
\n" ); document.write( "Jones: 70/20 = 3.5 hr
\n" ); document.write( ":
\n" ); document.write( "You can check the s=30 solution\r
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