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A boat travels 10 km in 1 hr downstream and 14 kms in 2 hrs upstream. How much time this boat will take to travel 17 kms in still water?
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A) 1 hr |
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B) \( \Large 2\frac{1}{2} \) hrs |
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C) 2 hrs |
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D) \( \Large 3\frac{1}{2} \) hrs |
Correct Answer:
| C) 2 hrs |
Description for Correct answer:
\( \Large v_{1} \) + \( \Large v_{2} \) = \( \Large \frac{10}{1} \) = 10 ...(i)
\( \Large v_{1} \) - \( \Large v_{2} \) = \( \Large \frac{14}{2} \) = 7 ...(ii)
Adding equations (i) and (ii), we get
\( \Large v_{1} \) = \( \Large \frac{17}{2}km/hr \)
\( \Large t = \frac{d}{v_{1}} = \frac{17}{\frac{17}{2}} \) = 2 hrs.
\( \Large v_{1} \) + \( \Large v_{2} \) = \( \Large \frac{10}{1} \) = 10 ...(i)
\( \Large v_{1} \) - \( \Large v_{2} \) = \( \Large \frac{14}{2} \) = 7 ...(ii)
Adding equations (i) and (ii), we get
\( \Large v_{1} \) = \( \Large \frac{17}{2}km/hr \)
\( \Large t = \frac{d}{v_{1}} = \frac{17}{\frac{17}{2}} \) = 2 hrs.
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