SOLUTION: The river boat Delta Duchess paddled upstream at 12 km/h, stopped for 2 h of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for th

Question 362933: The river boat Delta Duchess paddled upstream at 12 km/h, stopped for 2 h of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 h?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The river boat Delta Duchess paddled upstream at 12 km/h, stopped for 2 h of
sightseeing, and paddled back at 18 km/h.
How far upstream did the boat travel if the total time for the trip, including the stop, was 7 h?
:
We are only interested the in the actual travel time which is 5 hrs
:
Let d = distance traveled upstream (also return distance downstream)
:
Write a time equation; time = dist/speed
:
time up + time back = 5 hrs
+ = 5
Multiply by 36 to clear the denominators, results:
3d + 2d = 36(5)
5d = 180
d = 36 miles upstream
:
Check solution by finding the time for each way
+ =
3 + 2 = 5 hrs
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