<PRE><B>Question 88711</B>


   A passaenger train can travel 325 miles in the sametime a freight train takes to travel 200 miles. If the speed of the passenger train is 25 miles/h faster than the speed of the freight train . Find the speed for each.

   Let the speed of the frieght train be = x  miles/hr
    Then the speed of the passenger train = x+25   miles/hr
Distance travelled by frieght train is    = 200 miles
 
Distance travelled by passenger train is  = 325  miles

  time taken by both the trains is same .
   therefore time taken by frieght train = time taken by passenger train
 
               time taken = distance travelled/speed

                      i.e, 200/x = 325/(x+25)

                       200(x+25) = 325(x)
                      200x+5000  = 325x

                      325x-200x = 5000
                           125x = 5000    or  x = 5000/125
                                              x = 40 miles/hr

   Therefore the speed of Frieght train = 40 miles/hr
             the speed of passenger train = 40+25 = 65 miles/hr</PRE>