document.write( "Question 1058043: Roma Sherry drove
\n" ); document.write( "360360
\n" ); document.write( "miles from her home town to her parents' town. During her return trip, she was able to increase her speed by
\n" ); document.write( "44
\n" ); document.write( "miles per hour. If her return trip took 1 hour less time, find her original speed and her speed returning home. \n" ); document.write( "

Algebra.Com's Answer #673109 by jorel555(1290) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming those numbers are actually doubles, and Roma really drove 360 miles, and increased her speed by 4 mph; then let s be her speed getting there. Then, her speed going back is s+4. So:
\n" ); document.write( "360/s=360/(s+4) + 1
\n" ); document.write( "360(s+4)=360s+s²+4s
\n" ); document.write( "s²+4s-1440=0
\n" ); document.write( "(s+40)(s-36)=0
\n" ); document.write( "s=36 or -40
\n" ); document.write( "Throwing out the negative result, we get her speed as 36 mph on the way there; and 40 mph on the way back. ☺☺☺☺ \n" ); document.write( "

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