Raju can row at 7 km/hr in still water. If the speed of current is 2 km/hr and it takes him 2 hour to row to a place and come back, how far is the place?
1). 32.1 km
2). 64.2 km
3). 6.42 km
4). 3.21 km
Let,
Sb = Speed/Velocity of the boat in still water
Sw = Speed/Velocity of the current
d = Distance travelled from the one place to the another
t = Total time for the travel
Thus,
t = d/(Sb + Sw) + d/(Sb – Sw)
As per the question,
Sb = 7; Sw = 2; t = 2
Thus,
2 = d/9 + d/5
⇒ 2 = d (1/9 + 1/5)
⇒ 2 = d (14/45)
⇒ d = 45/7 = 6.42
Thus, the place is 6.42 km far.