Problema Solution

wallace and

vernonville

are 128 miles

apart. a car

leaves

wallace

traveling

towards

vernonville,

and another

car leaves

vernonville at

the same

time, traveling

towards

wallace. the

car leaving

wallace

averages 10

miles per hour

more than the

other, and

they meet

after 1 hour

and 36

minutes. what

are the

average

speeds of the

cars?

Answer provided by our tutors

Let


v = the average speed of the car leaving Vernonville


v + 10 = the average speed of the car leaving Wallace


t = 1 hr 36 min = 1 + 36/60 hr = 1.6 hr the time of the travel


d = 128 mi the distance between Wallace and Vernonville


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


vt + (v + 10)t = d


1.6v + 1.6(v + 10) = 128

........


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........

v = 35 mph


v + 10 = 35 + 10 = 45 mph


The average speed of the car leaving Vernonville is 35 mph.


The average speed of the car leaving Wallace is 45 mph.