Problema Solution

two cities are 609 miles apart with a scenic highway connecting them. Sue lives in one city and john lives in the other. At the same time they both begin driving toward each other. Sue drives at a rate of 39 mph and john drives at a rate of 48 mph. If they both maintain their speeds throughout their entire drive, how long will it take for them to meet?

Answer provided by our tutors

Let


v1 = 39 mph the rate of Sue


v2 = 48 mp the rate of John


d = 609 mi the distance between them


t = the time of the travel, t>0


since speed = distance/time follows distance = speed*time:


v1t + v2t = d


39t + 48t = 609

........


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........

t = 7 hr


It will take them 7 hours to meet.