SOLUTION: 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 hou

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 ?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
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.

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