Problema Solution
Two trains leave stations 204 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Answer provided by our tutors
let
t= the travel time before they meet
v1 = 75 mph the speed of the first train
v2 = 95 mph the speed of the second train
d1 = the distance that the first train makes
d2 = the distance that the second train makes
two trains leave stations 204 miles apart thus
d1 + d2 = 204
since speed = distance/time => distance = speed*time
d1 = v1*t
d1 = 75t
d2 = v2*t
d2 = 95t
if we plug d1 and d2 in d1 + d2 = 204 we get
75t + 95t = 204
by solving the equations
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)
we find
t = 1.2 hours = 1 hour 0.2*60 min
t = 1 hour 12 min
the two trains will meet after 1 hour and 12 minutes.