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Question:

A boat is sent across a river with a velocity of 8km/h. If the resultant velocity of the boat is 10km/h, the river is flowing with a velocity of?

6km/h

8km/h

12.8km/h

10km/h

Solution:

The boat is sent across river with velocity 8km/h with respect to river perpendicular to it. Hence →vbr=8^j
Let the velocity of river →vr=v^i
Hence the resultant velocity of boat = →vbr+→vr=√v2br+v2r
→10=√82+v2
→v=6km/h