document.write( "Question 60822This question is from textbook Elementry and Intermediate Algebra
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document.write( ": 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 ½ hour longer than Bob’s. Find the speed at which each of them is traveling. \n" );
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Algebra.Com's Answer #41787 by Nate(3500) ![]() You can put this solution on YOUR website! Pat's rate: b - 5 \n" ); document.write( "Bob's rate: b \n" ); document.write( "Pat's time: 1.5t \n" ); document.write( "Bob's time: t \n" ); document.write( "Time * Rate = Distance \n" ); document.write( "(b - 5)(1.5t) = 70 \n" ); document.write( "(b)(t) = 75 \n" ); document.write( "Use bob's formula: \n" ); document.write( "t = 75/b \n" ); document.write( "Substitute: \n" ); document.write( "(b - 5)(1.5(75/b)) = 70 \n" ); document.write( "(b - 5)(112.5) = 70b \n" ); document.write( "112.5b - 562.5 = 70b \n" ); document.write( "42.5b = 562.5 \n" ); document.write( "About 13.24 (Bob's Rate) \n" ); document.write( "Pat's Rate is about 8.24 \n" ); document.write( "~> Bob's time: 5.66 \n" ); document.write( "~> Pat's time: 8.5 \n" ); document.write( " \n" ); document.write( " |