Problema Solution

Two cars leave towns

320

kilometers apart at the same time and travel toward each other. One car's rate is

18

kilometers per hour less than the other's. If they meet in

2

hours, what is the rate of the slower car?

Answer provided by our tutors

let


v = the rate of the slower car


v + 18 = the rate of the faster car


d = 320 km the distance between the cars


t = 2 hr the time of the travel


since distance = rate*time we have


vt + (v + 18)t = d


2v + (v + 18)*2 = 320


by solving we find:


v = 71 kph


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the rate of the slower car is 71 kilometers per hour.