a) 4 kmph and 3 kmph
b) 4.5 kmph and 0.5 kmph
c) 4 kmph and 2 kmph
d) 5 kmph and 2 kmph
Answer: b
Explanation:
$$\eqalign{
& {\text{Upstream speed, U}} \cr
& {\text{ = }}\frac{{24}}{6} = 4\,km/h \cr
& {\text{Downstream speed , D}} \cr
& {\text{ = }}\frac{{20}}{4} = 5\,km/h \cr
& {\text{Speed of boat in still water , }}x \cr
& = \frac{{{\text{D + U}}}}{2} = \frac{9}{2} = 4.5\,km/h \cr
& {\text{Speed of water current, }}y \cr
& = \frac{{{\text{D – U}}}}{2} = \frac{1}{2} = 0.5\,km/h \cr} $$
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