| A man can row at 5 km/h in still water. If the velocity of current is 1 km/h and it takes him 1 h to row to a place and come back, how far is the place? [SSC (CGL) 2004] |
A) 2.5 km
B) 3 km
C) 2.4 km
D) 3.6 km
Correct Answer: C
Solution :
| Let the distance be \[x\,\,km.\] |
| Speed upstream \[=5-1=4\,\,km/h\] |
| Speed downstream \[=5+1=6\,\,km/h\] |
| \[\therefore \] \[\frac{x}{6}+\frac{x}{4}=1\] |
| \[\Rightarrow \] \[\frac{2x+3x}{12}=1\]\[\Rightarrow \]\[5x=12\] |
| \[\Rightarrow \] \[x=\frac{12}{5}=2.4\,\,km\] |
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