a) 2 : 1
b) 3 : 2
c) 8 : 3
d) None of these
Answer: c
Explanation: 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.
$$\eqalign{
& {x \times 8\frac{4}{5}} = {y \times 4} \cr
& \frac{{44}}{5}x = 4y \cr
& y = \frac{{11}}{5}x \cr
& {\text{Required}}\,{\text{ratio}} \cr
& = {\frac{{y + x}}{2}} : {\frac{{y – x}}{2}} \cr
& = \left( {\frac{{16x}}{5} \times \frac{1}{2}} \right):\left( {\frac{{6x}}{5} \times \frac{1}{2}} \right) \cr
& = \frac{8}{5}:\frac{3}{5} \cr
& = 8:3 \cr} $$
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