Question
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Answer: Option C
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Let the man's rate upstream be x kmph and that downstream be y kmph.
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
\(\left(x\times8\frac{4}{5}\right) = (y\times4)\)
\(\frac{44}{5}x = 4y\)
\(y= \frac{11}{5}x\)
So, Required ratio = \(\left(\frac{x+y}{2}\right):\left(\frac{x-y}{2}\right)\)
\(\left(\frac{16x}{5}\times\frac{1}{2}\right) :\left(\frac{16x}{5}\times\frac{1}{2}\right)\)
\(\frac{8}{5}:\frac{3}{5}\)
= 8:3
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