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Question 9
Swati can row a boat on still water at a speed of 5 km/hr. However, on a given river, it takes her 1 hour more to row the boat 12 km upstream than downstream. One day, Swati rows the boat on this river from X to Y, which is N km upstream from X. Then she rows back to X immediately. If she takes at least 2 hours to complete this round trip, what is the minimum possible value of N?
Solution
Let the speed of the stream be x
$$\frac{12}{5-x}=\frac{12}{5+x}+1$$
The value of x satisfying the above equation is 1
Now,
$$\frac{N}{5+1}+\frac{N}{5-1}\ge2$$
$$\frac{2N+3N}{12}\ge2$$
=> $$N\ge4.8$$
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