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Answer :
Therefore, the speed of the current is 12.8 mph, and the actual speed of the motorboat is 39.7 mph.
To solve this problem, we can use the formula:
v = d/t
where v is the speed of the boat in still water, d is the distance traveled by the boat, and t is the time taken.
Let’s assume that the speed of the current is c and the actual speed of the motorboat is m. Then we can write:
m×cos(62°18') = v + c
m×sin(62°18') = 0
where v = 36.9 mph.
Solving these equations for m and c, we get:
m = 39.7 mph
c = 12.8 mph
Therefore, the speed of the current is 12.8 mph, and the actual speed of the motorboat is 39.7 mph.
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