A man can row 5 km/hr in still water, where the river is running at 1 km/hr, it takes him 1 hour to row to a place and back. How far is the place?
1). 2.88 km
2). 2.78 km
3). 2.98 km
4). 2.40 km
Speed in still water = 5 km/hr
Speed of the current = 1 km/hr
Speed downstream = (5 + 1) = 6 km/h
Speed upstream = (5 – 1) = 4 km/h
Let the requited distance be ‘x’ km
Total time taken to row a place and back = 1 hour
Using Formula, Speed = Distance/Time
$(\Rightarrow \frac{x}{6} + \frac{x}{4} = 1)$
$(\Rightarrow \frac{{2x}}{{12}} + \frac{{3x}}{{12}} = 1\;)$
⇒ 5x = 12
⇒ x = 2.4 Km