Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip, against the current, takes 4 hours. Find the average speed of the boat for the entire trip and the speed of the current.
If it takes 3 hours to travel 48 miles with the current, the speed must have been 16 mph.
If it takes 4 hours to travel back against the current, the speed must have been 12 mph.
The average rate for the whole trip is just
(16 + 12) / 2 = 14 mph (this isn't technicallly correct, but we'll go with it !!!)
The speed of the current must have been 2 mph
Check......time with current x rate + time against current x rate = total distance
3(14 + 2) + 4(14-2) = 96 miles
If it takes 3 hours to travel 48 miles with the current, the speed must have been 16 mph.
If it takes 4 hours to travel back against the current, the speed must have been 12 mph.
The average rate for the whole trip is just
(16 + 12) / 2 = 14 mph (this isn't technicallly correct, but we'll go with it !!!)
The speed of the current must have been 2 mph
Check......time with current x rate + time against current x rate = total distance
3(14 + 2) + 4(14-2) = 96 miles