A river is flowing from west to east direction with speed of 9 km/hr. If a boat capable of moving at a maximum…

Question

A river is flowing from west to east direction with speed of $9 \, \text{km/hr}$ . If a boat capable of moving at a maximum speed of $27 \, \text{km/hr}$ in still water, crosses the river in half a minute, while moving with maximum speed at an angle of $150^\circ$ to direction of river flow, then the width of the river is:

A
$300 \, \text{m}$
B
$112.5 \, \text{m}$
C
$75 \, \text{m}$
D
$112.5 \times \sqrt{3} \, \text{m}$

Accepted Answer

B. $$112.5 \, 	ext{m}$$

Answer

A. $$300 \, 	ext{m}$$

Answer

C. $$75 \, 	ext{m}$$

Answer

D. $$112.5 	imes \sqrt{3} \, 	ext{m}$$

Answer & step-by-step solution

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