SOLUTION: Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same route and averaged 30 miles per hour. If Esther spent

Question 366454: Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same route and averaged 30 miles per hour. If Esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let distance to work be x miles
speed = 45 mph
so time = x/45 hours
..
return speed = 30 mph
return time = x/30
..
x/45+x/30 = 1
30x+45x / 30*45 =1
75x= 30*45
/75
x= 30*45/75
x=18 miles ... distance to work place
...
m.ananth@hotmail.ca
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