AP EAMCET · PHYSICS · Motion In One Dimension
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?
- A \(4 \mathrm{~km} / \mathrm{hr}\)
- B \(6 \mathrm{~km} / \mathrm{hr}\)
- C \(8 \mathrm{~km} / \mathrm{hr}\)
- D Data inadequate
Answer & Solution
Correct Answer
(B) \(6 \mathrm{~km} / \mathrm{hr}\)
Step-by-step Solution
Detailed explanation
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 \(=\frac{1}{2}(8+4) \mathrm{kmph}=6 \mathrm{kmph}\)
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