A boat running downstream covers a distance of $16 \mathrm{~km}$ in 2 hours while for covering the same…

A boat running downstream covers a distance of $16 \mathrm{~km}$ in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
  1. $4 \mathrm{~km} / \mathrm{hr}$
  2. $6 \mathrm{~km} / \mathrm{hr}$
  3. $8 \mathrm{~km} / \mathrm{hr}$
  4. Data inadequate

Solution

Rate downstream $=\left(\frac{16}{2}\right) \mathrm{kmph}=8 \mathrm{kmph} ;$ Rate upstream $\left(\frac{16}{4}\right) \mathrm{kmph}=4 \mathrm{kmph}$. $\therefore$ Speed in still water $=\frac{1}{2}(8+4) \mathrm{kmph}=6 \mathrm{kmph}$

Asked in: AP EAMCET 2023 (19 May Shift 1)

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