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A man can swim with a speed of $4.0 \mathrm{~km} / \mathrm{h}$ in still water. How long does he take to cross a river $1.0 \mathrm{~km}$ wide if the river flows steadily at $3.0 \mathrm{~km} / \mathrm{h}$ and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?
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Time to cross the river, $t=$ width of river/ speed of man $=1 \mathrm{~km} / 4 \mathrm{~km} / \mathrm{h}=\frac{1}{4} \mathrm{~h}=15 \mathrm{~m}$.
Distance moved along the river in time $t=v_r \times t=3 \mathrm{~km} / \mathrm{h} \times \frac{1}{4} \mathrm{~h}=750 \mathrm{~m}$
Distance moved along the river in time $t=v_r \times t=3 \mathrm{~km} / \mathrm{h} \times \frac{1}{4} \mathrm{~h}=750 \mathrm{~m}$
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