The rate of the current is 6 mile/hour.
What does a rate mean ?
In this context, the rate is tantamount to speed o velocity in a linear motion. The S.I unit will be mile per hour.
Given that a boat takes 10 hours to sail a distance of 100 nautical miles with the current. The rate at which the boat move will be
The rate R1 = 100/10
R1 = 10 mile/hour
And when it moves against the current, it takes the boat 25 hours to sail the same distance. The rate at which the boat move will be
The rate R2 = 100/25
R2 = 4 mile/hour
The rate of the current R will be the difference between the two calculated rate. That is,
R = R1 - R2
R = 10 - 4
R = 6 mile/hour
Therefore, the rate of the current is 6 mile/hour.
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