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A man in a boat crosses a river from poi...

A man in a boat crosses a river from point A. If he rows perpendicular to the banks he reaches point C `(BC = 120 m)` in 10 min. If the man heads at a certain angle `alpha` to the straight line AB (AB is perpendicular to the banks) against the current he reaches point B in 12.5 min. Find the width of the river w, the rowing velocity u, the speed of the river current v and the angle `alpha`. Assume the velocity of the boat relative to water to be constant and the same magnitude in both cases.

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