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The distance between two cities is one hundred miles, and a woman drives from one city to the other at a rate of fifty mph. At what rate must she return if the total travel time is three hours and forty minutes?

Verified Answer :

well in her first travel (when she goes to the anther city)
v1= 50mph
d1=100 m
t1=?

t=d/v=100/50=2h

that's meat that she will take 2hours during the first travel 

and total travel time = 3h 

she wants to take only 1 h in her second travel 

v2=?
d2=100 m
t2= 1h

v2= d2 *t2 =100mph 


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well in her first travel (when she goes to the anther city)

v1= 50mph

d1=100 m

t1=?


t=d/v=100/50=2h


that's meat that she will take 2hours during the first travel 


and total travel time = 3h 


she wants to take only 1 h in her second travel 


v2=?

d2=100 m

t2= 1h


v2= d2 *t2 =100mph 

total travel time is 3 hours and 40 minutes so i belive the correct answer is 60mph



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