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 is swims at angle Alpha to AB he reaches B in 12.5 minutes find the velocity of water flow find the velocity of man find the width of the river
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River man problem are sometimes known as kinematics.
Firstly we take V as the velocity of the river
let V1 be the velocity of river in still water.
and w be the width of the river.
The time is specified which is 10 min or w/v1=10
whereas the drift in this case will be
X=Vt
120=10vt
the shortest path taken when vb is along ab is
vb=root over v21-v2
12.5=W/vb
solving these three equation we get V1=20m/min, v=12 and w=200
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