Karen left her house heading east and her sister left two ho

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?

Solution

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