Question 1202491
rate * time = distance
express train made the trip in 20 hours.
equation for express train is r * 20 = d
r is the rate
d is the distance
the freight train took 25 hours because it was 10 miles per hour slower than the exptress.
equation for freight train is (r - 10) * 25 = d
simplify the second equation and leave the first eqution as is to get:
r * 20 = d
r * 25 - 250 = d
subtract the first equation from the second to get:
5 * r - 250 = 0
add 250 to both sides of the equation the solve for r to get:
5 * r = 250 resulting in r = 50
this suggests that the express was traveling at 50 miles per hour and the freight train was traveling at 40 miles per hour.
equation become:
50 * 20 = d
40 * 25 = d
solve for d in both equaations to get d = 1000 in each equation.
solutuion is that the speed of the express train was 50 miles per hour and the speed of the freight train was 40 miles per hour.