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Q.

A boat moves perpendicular to the bank with a velocity of 7.2 km/h. The current carries it 150 m downstream, find the velocity of the current. (The width of the river is 0.5 km)

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a

$1 .2 {ms}^{- 1}$

b

$0 .4 {ms}^{- 1}$

c

$0 .5 {ms}^{- 1}$

d

$0 .6 {ms}^{- 1}$

answer is D.

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Detailed Solution

$x = d \frac{V_{w}}{V_{b}} \Rightarrow V_{b} = 7.2 \times \frac{5}{18} = 2$

$150 = 500 \frac{V_{w}}{2} \Rightarrow V_{w} = \frac{15}{25} = \frac{3}{5} = 0 .6 {ms}^{- 1}$

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A boat moves perpendicular to the bank with a velocity of 7.2 km/h. The current carries it 150 m downstream, find the velocity of the current. (The width of the river is 0.5 km)