A boat moving perpendicular to the bank with a velocity of $7.2$ km/h. The current carries it $150$m downstream, find the velocity of the current.(The width of the river is $0.5$ km).

The boat crosses the $0.5$ km or $500$ m wide river perpendicular to the bank at a velocity of $7.2$ km/h, which converts to $2$ m/s. The time taken to cross is $500 / 2 = 250$ seconds. In this time, the current carries the boat $150$ m downstream, so the velocity of the current is $150 / 250 = 0.6$ m/s. The result is $0.6 ms^{-1}$.

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