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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?

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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


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Answered by on | Votes 0 |

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.

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