Question 298692
pat and jeff walked to the dock at 3 miles per hour, jumped into the boat, and motored into Dillion at 11 miles per hour. If the total distance was 44 miles and the trip took 6 hours in all, how far did they go by boat ?

let them go by boat for x miles
rate of boat = 11mph
time taken by boat = x/11
-
total distance =44 miles

walking distance = 44-x
rate of walking = 3 mph

time walked = 44-x / 3


x/11 + 44-x / 3 = 6 

3x+11(44-x) / 33 =6

3x+484 -11x =33*6

-8x=198-484

-8x= -286


x=35.75 miles  -- distance by boat.