document.write( "Question 78670: Mary leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Mary to meet Phil? \n" ); document.write( "
Algebra.Com's Answer #56414 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Mary leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Mary to meet Phil? \n" ); document.write( ": \n" ); document.write( "Let t = Mary's time on the road \n" ); document.write( ": \n" ); document.write( "(t-1) = Phil's time on the road; (He left 1 hr later) \n" ); document.write( ": \n" ); document.write( "When they meet, they will have traveled a total 380 miles \n" ); document.write( ": \n" ); document.write( "Write a distance equation; distance = speed * time \n" ); document.write( ": \n" ); document.write( "Mary's distance + Phil's distance = 380 \n" ); document.write( "50t + 60(t-1) = 380 \n" ); document.write( ": \n" ); document.write( "50t + 60t - 60 = 380 \n" ); document.write( ": \n" ); document.write( "110t = 360 + 60 \n" ); document.write( ": \n" ); document.write( "t = 440/110 \n" ); document.write( ": \n" ); document.write( "t = 4 hrs is Mary's time on the road \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: (Phils time on the road = 3 hrs \n" ); document.write( "(50*4) + (60*3) = \n" ); document.write( " 200 + 180 = 380 mi \n" ); document.write( " |