document.write( "Question 950350: Mary can jog, on average, 2 miles per hour faster than her husband, James. James can jog 6.6 miles in the same amount of time it takes mary to jog 9 miles. Mary can jog____ miles per hour? \n" ); document.write( "
Algebra.Com's Answer #580285 by macston(5194)![]() ![]() You can put this solution on YOUR website! J=Jame's rate; M=Mary's rate=J+2mph \n" ); document.write( "6.6 mi/J=9 mi/M Substitute for M \n" ); document.write( "6.6 mi/J=9 mi/J+2 Multiply each side by (J)(J+2) (cancel both denominators) \n" ); document.write( "6.6 mi(J+2mph)=9 mi(J) \n" ); document.write( "6.6J+13.2=9J Subtract 6.6J from each side. \n" ); document.write( "13.2=2.4J Divide each side by 2.4 \n" ); document.write( "5.5mph=J James jogs 5.5 mph. \n" ); document.write( "M=J+2mph=5.5mph+2mph=7.5 mph ANSWER: Mary jogs 7.5 mph. \n" ); document.write( "CHECK \n" ); document.write( "James jogs 6.6 mi while Mary jogs 9 mi \n" ); document.write( "6.6 mi/J=9 mi/M \n" ); document.write( "6.6 mi/5.5 mph=9 mi/7.5 \n" ); document.write( "1.2 hrs=1.2 hrs \n" ); document.write( " |