Problema Solution
Two trains leave towns 1405 km apart at the same time and travel toward each other. One train travels 19 km/h slower than the other. If they meet in 5 hours, what is the rate of each train?
Answer provided by our tutors
let
v = the rate of the slower train
v + 19 = the rate of the faster train
d = 1405 km the distance that the two train will travel
t = 5 hr the time of the travel
since speed = distance/time => distance = speed*time
v*t + (v+19)t = d
5v + 5(v + 19) = 1405
by solving we find
v = 131 km/h
click here to see the step by step solution of the equation
131 + 19 = 150 km/h
the rate of each train is 131 km/h and 150 km/h.