A) 50 km
B) 60 km
C) 70 km
D) 80 km
Correct Answer: D
Solution :
Let the distance between two parts be x km. |
Let the speed of steamer in still water y km/h. |
\[\therefore \] \[\frac{x}{y+2}=4\] ?(i) |
and \[\frac{x}{y-2}=5\] ?(ii) |
From Eqs. (i) and (ii),we get |
\[4\,\,(y+2)=5(y-2)\] |
\[\Rightarrow \] \[4y+8=5y-10\] |
\[\Rightarrow \] \[5y-4y=10+8\] |
\[\Rightarrow \] \[y=18\,\,\text{km/h}\] |
From Eq. (i), |
\[\frac{x}{18+2}=4\] |
\[\Rightarrow \] \[x=4\times 20=80\,\,\text{km}\] |
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