a wooden block After 1 h of this instant the boat turns back and crosses the wooden block again at some point of time at a point

Question

a wooden block After 1 h of this instant the boat turns back and crosses the wooden block again at some point of time at a point that is at 6 km from the first crossing Find the velocity of the river MAIN Solution Taking the rightward direction as positive x axis Given The distance between the first crossing and the second crossing is 6 km Let the velocity of the river be v Taking the wooden block as the frame of reference The wooden block flows with the river and therefore the velocity of the wooden block is the same as the velocity of the river i e V 6 km y Since the speed of the boat with respect to the wooden block is constant therefore time taken by boat to move forward and come backwards will be equal i e 1 1 2 hr So the wooden block flows for a total of 2 hours before meeting the boat again Therefore tance travelled by wooden block in 2 h is equal to the distance between the first crossing the second crossing which is 6 km v x 2h 6km v 3kmh

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