Problema Solution

two cars travel each other from different terminals 312 kilometers apart. the rate of one car is 2 kph more than the other. how did each car travel if they meet after 3 hours?

Answer provided by our tutors

let


v = the rate of the first car

v + 2 = the rate of the second car

d = 312 km the distance between them

t = 3 hr the time of the travel


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


vt + (v + 2)t = d


3v + (v + 2)3 = 312


by solving we find


v = 51 kph


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51 + 2 = 53 kph


the rate of the first car was 51 kmp.

the rate of the second car was 53 kmp.