<PRE><B>Question 817157</B>



   Train 1.     d = rt.                       Train 2        d = rt

         r1 means rate of train 1,  r2 means rate of train 2

         Rate of train 2 is 45 mph faster than train 1
               r2 =  r1 + 45

          Time for train 1 to reach same spot at 10:00 is t1 = 7 hrs.
           Time for train 2 to reach same spot at 10:00 is t2  = 4 hrs.

                   distance coverd by 10:00 is the same
                                d1 =. d2

                               d1 =  rt = (r1)(7).            d2 = ( r2)t = (r1 + 45) 4
                                             So  7(r1)      =  (r1 + 45) 4
                                                    7(r1) = 4(r1)+ 180
                                                   Solve for r1 to get r1 = 60 mph
                 Train 2 is 45 mph faster so rate of train 2 is 105 mph
                    
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