document.write( "Question 732123: John and Mary leave their house at the same time and drive in opposite directions. John drives at 90 mi/h and travels 35 mi farther than Mary, who drives at 40 mi/h. Mary's trip takes 15 min longer than John's. For what length of time does each of them drive? \n" ); document.write( "
Algebra.Com's Answer #447567 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! John and Mary leave their house at the same time and drive in opposite directions. John drives at 90 mi/h and travels 35 mi farther than Mary, who drives at 40 mi/h. Mary's trip takes 15 min longer than John's. For what length of time does each of them drive? \n" ); document.write( "*** \n" ); document.write( "let x=John's travel time \n" ); document.write( "15 min=1/4 hr \n" ); document.write( "(x+1/4)=Mary's travel time \n" ); document.write( "distance=travel time*speed \n" ); document.write( ".. \n" ); document.write( "90x-40(x+1/4)=35 \n" ); document.write( "90x-40x-10=35 \n" ); document.write( "50x=45 \n" ); document.write( "x=45/50=9/10 hr or 54 min \n" ); document.write( "x+1/4=18/20+5/20=23/20 hr or 69 min \n" ); document.write( "John's travel time=54 min \n" ); document.write( "Mary's travel time=69 min \n" ); document.write( " |