Question

A passenger train takes 2 hours less than a freight train takes to travel from norman to enid. the passenger train averages 96 km/hr, while the freight train averages 64 km/hr. what is the distance from norman to enid?

Answer 1

Passenger

r = 96 km/hr

t = t - 2

Freight

r = 64

t = t    You have to solve for t before you can solve for d

The distance is the same for both trains.

Formula

r_passenger_train * time_passenger = r_freight_train * time_freight

Solve

96 km/hr * (t - 2) = 64*t         the easiest way to go on is to divide by 96

(t - 2) = 64t/96

t - 2 = 0.667t                         Subtract 0.667t from both sides.

t - 0.667t - 2 = 0                   Add 2 to both sides. combine the two times

0.333t = 2                             Divide by  0.333

t = 2/0.333 = 6 hours

Answer

Now solve for the distance.

d_ passenger = r_passenger * t_passenger

d_passenger = ???

r_ passenger = 96

t = 6 - 2 = 4 hours.

d = 96 * 4

d = 384 km.