document.write( "Question 70281: Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pattravels 5 miles per hour slower than Bob, and her route takes her one-half hour longer than Bob's. How fast is each one traveling? \n" ); document.write( "
Algebra.Com's Answer #50147 by stanbon(75887) ![]() You can put this solution on YOUR website! Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pat travels 5 miles per hour slower than Bob, and her route takes her one-half hour longer than Bob's. How fast is each one traveling? \n" ); document.write( "-------------------- \n" ); document.write( "Pat DATA: \n" ); document.write( "distance = 70 miles; rate = x-5 755mph ; time = d/r = 70/(x-5) hrs. \n" ); document.write( "---------- \n" ); document.write( "Bob DATA: \n" ); document.write( "distance = 75 miles ; rate= x mph ; time = d/r = 75/x hrs \n" ); document.write( "------- \n" ); document.write( "EQUATION: \n" ); document.write( "Bob rate + 0.5 = Pat rate \n" ); document.write( "75/x + 1/2 = 70/(x-5) \n" ); document.write( "(151/2x) = 70/(x-5) \n" ); document.write( "140x = 151x-755 \n" ); document.write( "-11x = -755 \n" ); document.write( "x=68.64 mph (Bob's rate) \n" ); document.write( "x-5 = 63.64 mph (Pat's rate) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |