SOLUTION: carlos and sheri drove a total of 258 miles in 5 hours. carlos drove the first part of the trip and averaged 53 miles per hour. sheri drove the remander of the trip and averaged 51

Question 682028: carlos and sheri drove a total of 258 miles in 5 hours. carlos drove the first part of the trip and averaged 53 miles per hour. sheri drove the remander of the trip and averaged 51 miles per hour. for approximately how many hours did sheri drive?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let carlos drive x miles
speed carlos = 53mi/h
sheri drives 258-x miles
speed sheri 51 mi/h
Time carlos drove + time cheri drove = 5 hours
t=d/r
x/53 + (258-x)/51 = 5
LCD = (53)*(51)

51x+13674-53x=5*51*53
-2x=-13674+13515
-2x=-159
/-2
x=79.5 miles
Sheri drove for 258-79.5
=178.5
t=d/r
sheri drove for 178.5/51
= 3.5 hours

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