QuestionA man crosses a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift 120 m . If he crosses the river taking shortest path, he takes 12.5 minutes. Assuming $\mathrm{v}_{\mathrm{b} / \mathrm{r}}>\mathrm{v}_{\mathrm{r}}$ , find (i) width of the river. (ii) velocity of the boat with respect to water. (iii) speed of the current.

Studdy Solution
Given $\mathrm{v}_{\mathrm{r}} = 720 \text{ m/hr}$ and drift $120m$ , solve for $d$ : $d = 6 \times 720$ Finally, $d = 4320m$
Therefore, the width of the river is $4320m$ , velocity of the boat relative to water is $4320 m/hr$ and current speed $720 m/hr$ .

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