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A boat can go 10 km downstream and 8 km upstream in 49 minutes. Also it can go 12 km downstream and 4 km upstream in 42
minutes. What is the speed of stream in km/h?
1.5
2.5
2
1
- To solve this problem, let the speed of the boat in still water be b km/h and the speed of the stream be s km/h.
- Downstream speed = b+s, upstream speed = b−s.
- For the first condition, equation is:
$$
\frac{10}{b+s} + \frac{8}{b-s} = \frac{49}{60} \text{ (hours)}
- For the second condition, equation is:
\frac{12}{b+s} + \frac{4}{b-s} = \frac{42}{60} \text{ (hours)}
- Solving these two equations simultaneously can get you both b and s.
- After solving, the stream speed s is found to be 2 km/h.
- Hence, option 3 is correct.
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