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

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) (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
RELATED QUESTIONS
Karen left her house heading east and her sister left two hours later heading west at a... (answered by stanbon)

Karen left her house heading east, and her sister left two hours later heading west at a... (answered by mananth)

karen left her house heading east and her sister left two hours later heading west at a... (answered by mananth)

Sarah left Minneapolis heading east on the interstate at a speed of 60 mph. Her sister... (answered by josgarithmetic,MathTherapy,ikleyn)

Mary left home at 12 noon and drove to visit her mom who lives 20 miles away. After she... (answered by josmiceli)

2 trains leave the station at the same time, one heading east and the other west. The... (answered by mananth)

One train left the station heading due west at 40 mph. A second train left the station 2... (answered by josgarithmetic)

Two trains leave the station at the same time, one heading west and the other east. The... (answered by ikleyn)

one train leaves a station heading due west. two hours later a second train leaves the... (answered by xcentaur)