document.write( "Question 122963: At 5 pm Roger zoomed off from Asteroid. One hour later, Maryanne zoomed off from Asteroid in the opposite direction at a speed 400 kph less than that of Roger. If they were 7900 km apart at 11 p.m how fast did each travel? \n" ); document.write( "
Algebra.Com's Answer #90366 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! At 5 pm Roger zoomed off from Asteroid. One hour later, Maryanne zoomed off from Asteroid in the opposite direction at a speed 400 kph less than that of Roger. If they were 7900 km apart at 11 p.m how fast did each travel? \n" ); document.write( "---------- \n" ); document.write( "Roger DATA: \n" ); document.write( "Time = 6 hrs ; rate = r kph ; distance = 6r km \n" ); document.write( "-------------- \n" ); document.write( "Maryanne DATA: \n" ); document.write( "Time = 5 hrs ; rate = r-400 kph ; distance = 5(r-400) km \n" ); document.write( "------------- \n" ); document.write( "EQUATION: \n" ); document.write( "distance + distance = 7900 km \n" ); document.write( "6r + 5(r-400) = 7900 \n" ); document.write( "6r + 5r-2000 = 7900 \n" ); document.write( "11r = 9900 \n" ); document.write( "r = 900 kph (Roger's rate) \n" ); document.write( "r-400 = 500 kph (Maryanne's rate) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |