document.write( "Question 775695: after A has traveled 2.5 hrs at the rate of 4.5 miles per hour, B starts to overtake him. if B travels 7 miles per hour, how far will they have traveled when B overtakes A? \n" ); document.write( "
Algebra.Com's Answer #473092 by psbhowmick(878)![]() ![]() You can put this solution on YOUR website! Suppose B walks for T hours before overtaking A. \n" ); document.write( "Thus in T hours, the distance travelled by B = 7T miles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By this time the total distance travelled by A would be = the distance already covered when B started + the distance covered in T hours = 2.5x4.5 + 4.5T\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since at time T B overtakes A so the total distance travelled by them at that point of time should be equal.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the total distance covered by both A and B at the time T is 7 x 4.5 = 31.5 miles. \n" ); document.write( " |