A and B two points are 24 km apart, situated on the opposite side of a river. A man starts rowing a boat from point A to the point B but due to the flow of the river he reach at point C which is 10km away from point B , if the speed of the boat is 24kmph then find the flow of the river? Find the speed of the water ?

The boat aims from A to B (24 km apart) but drifts to C, 10 km from B. This forms a right triangle with boat displacement and river drift. Using boat speed 24 kmph and the drift, river speed = (distance drifted)/(time taken). If boat crosses directly at 24 kmph for distance 24 km, time = 1 hour. In that time, river pushes boat 10 km sideways, so river speed = 10 kmph. Option A is correct. The geometry creates a right angle where river flow is perpendicular to crossing direction.