SOLUTION: help.... KAren left her house heading east and her sister left two hours later heading west at a rate of 5 mph faster than Karen. Six hours after Karen left, she and her sister

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Question 63847This question is from textbook An Incremental Development
: help....
KAren left her house heading east and her sister left two hours later heading west at a rate of 5 mph faster than Karen. Six hours after Karen left, she and her sister were 600 miles apart. How fast was Karen moving?
This question is from textbook An Incremental Development

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
help....
KAren left her house heading east and her sister left two hours later heading west at a rate of 5 mph faster than Karen. Six hours after Karen left, she and her sister were 600 miles apart. How fast was Karen moving?
LET KAREN'S SPEED = X
SISTER'S SPEED =K+5
KAREN TRAVELLED 6 HRS.
KAREN GOES 6X MILES IN 6 HRS.EAST
SISTER TRAVELLED 6-2=4 HRS.......DISTANCE TRAVELLED WEST WARDS =4(X+5)=4X+20
TOTAL DISTANCE OF SEPERATION = 6X+4X+20= 600
10X =600-20=580
X = 58 MPH