A motorboat takes 2 hours to travel a distance of 9 km down the current and it takes 6 hours to travel the same distance against the current. What is the speed of the boat in still water in kmph?
Correct Answer: Description for Correct answer:
Let the speed of boat in still water and speed of current are x and y km/h respectively.
Therefore Downward speed of boat = (x+y) km/h.
According to question,
\( \Large x + y = \frac{9}{2} = 2x + 2y = 9 \) ...(i)
and \( \Large x - y = \frac{9}{6} = 2x - 2y = 3 \) ...(ii)
On solving equations (i) and (ii), we get
x = 3, y = \( \Large \frac{3}{2} \)
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