Problema Solution

A train leaves Little Rock Arkansas and travels north at 75 kilometers per hour. Another train leaves at the same time and travels south at 80 kilometers. how long will it take before they are at 465 kilometers apart?

Answer provided by our tutors

let


t = the time of the travel until they are 465 km apart

v1 = 75 km/h the speed of the first train

v2 = 80 km/h the speed of the second train

d = 465 km the distance between the train after time t


since speed = distance/time => distance = speed*time


v1*t + v2*t = d since they are traveling in oposite directions


75t + 80t = 465


by solving we find


t = 3 hr


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it will take 3 hour until they are 465 kilometers apart.