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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).

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0.4 ms^–1

1.2 ms^–1

0.5 ms^–1

0.6 ms^–1

answer is D.

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Detailed Solution

$V_{b} = 7.2 \times \frac{5}{18} = 2 m / s$

$\begin{array}{l} x = d \frac{V_{w}}{V_{b}} \\ \Rightarrow 150 = 500 \frac{V_{w}}{2} \Rightarrow V_{w} = \frac{15}{25} = \frac{3}{5} = 0.6 {ms}^{- 1} \end{array}$

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