relative velocity

A man can swim directly across a stream of width 100m in 4 minutes when there is no current and in 5 min. when there is current.the velocity of current is?

2 Answers

1
Dharun ·

Velocity of current=0.25m/s

1
Anirudh Kumar ·

CASe 1
no stream velocity

velocity of man = v km/hr
v = 100*15/1000 = 1.5 km/hr . (converting given measurements in km and hr)

CASE 2:

let the stream velocity be 'u' km/hr .
→ resultant velocity perpendicular flow is = √v2-u2

thus , √v2-u2 = 100*12/1000= 1.2
v2-u2 = 1.44
u2 = 2.25 - 1.44 = 0.81
u = 0.9

velocity of the current = 0.9 km /hr or 0.25 m/s

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