A man crosses a river from point A. If he swims perpendicular to the bank, he reaches point 'C'in 10 minutes later. If he swims at angle a to AB, he reaches B in 12.5 minutes Find the velocity of man.
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Thus the velocity of man is 12.5 m/s
Explanation:
Let the velocity of the river = v
Let V1 be the velocity of river in still water.
The time is specified which is 10 min or w/v1 = 10
Whereas the drift in this case will be
X=Vt
120=10 vt
The shortest path taken when vb is along ab is
vb=root over v21-v2
W/vb = 12.5 m/s
Thus the velocity of man is 12.5 m/s
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