A passenger train can travel 325 mi in the same time a freig

A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the frieght train, find the speed of each.

Solution

Given : passenger train can travel 325 mi same time a freight train takes to travel 200 mi. the speed of the passenger train is 25 mi/h faster than the speed of the freight train Illustration: d / r = t Passenger train 325 x + 25 = 325/(x + 2 Freight train 200 x = 200/ x Time is the same 325 200 _______ = _____ x + 25 x Cross multiply 325x = 200 (x + 25) 325x = 200x + 5000 325x - 200x = 5000 125x = 5000 x = 5000/125 x = 40 mi/h ----->Speed of the Freight train x + 25mi/h = 40 + 25 = 65 mi/h ---->Speed of the Passenger Train If you check they travel 5 hours to reach each distance with diferent speed. d = rt passenger train 325mi = 65mi/h * 5h 325mi = 325 mi -------> True Freight train 200 mi = 40mi/h * 5h 200 mi = 200 mi ---------> True