document.write( "Question 402938: I have a word problem that says one person leaves at 2pm and is traveling 45 mph from point a to point b and the other person leaves at 2:15pm and is traveling 40 mph from point b to point a. The distance is 160 miles. The question is At what time do they pass each other on the road? I need help setting up a formula for this. I thought it might be 160=45x+40x but the answer to that didn't seem right. I know the formula d=rt, but I don't know exactly how to apply that to this problem. \n" ); document.write( "
Algebra.Com's Answer #284991 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! your equation is very close \n" ); document.write( "the sum of the rates times the times is 160 ; but the times are not the same \n" ); document.write( "the 45 mph person has a 15 min (.25 hr) head start\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "160 = 45(x + .25) + 40(x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x is the travel time for the 40 mph person \n" ); document.write( "from that you can find the time (of day) that they pass each other \n" ); document.write( " |