Problema Solution
Two trains leave the station at the same time, one heading west and the other east. the westbound train travels 60 mph faster than The eastbound train. If the two trains are 400 miles apart after 2 hours, what is the rate of the westbound train?
Answer provided by our tutors
let
v1 = the rate of the eastbound train
v2 = the rate of the westbound train
d = 400 mi
t = 2 hr
the westbound train travels 60 mph faster than the eastbound train
v2 = v1 + 60
v1 = v2 - 60
since speed = distance/time => distance = speed*time
v1*t + v2*t = d
2v1 + 2v2 = 400
plug v1 = v2 - 60 into the last equation
2(v2 - 60) + 2v2 = 400
by solving we find
v2 = 130 mph
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the rate of the westbound train is 130 mph.