Problema Solution

Two bikes travel toward at each other from cities that are 320 km apart at rates of 95 km/hr and 65 km/hr. They start at the same time. In how many hours will they meet?

Answer provided by our tutors

let


d = 320 km the total distance


v1 = 95 km/h the speed of the first bike


v2 = 65 km/h the speed of the second bike


t = the time of the travel until meeting


since distance = speed*time and they travel towards each other we have:


the distance of the first bike + the distance of the second bike = the total distance


v1*t + v2*t = d


95t + 65t = 320


by solving we find:


t = 2 hr


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the bikes will meet in 2 hours.