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ELEN [110]
3 years ago
15

A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

t leaving N, he was brought back to N by the current. Knowing that the speed of the boat in still water is 9 km/hour, find the speed of the river’s current.
Mathematics
2 answers:
Over [174]3 years ago
4 0
The current is 21.6km per hour
ArbitrLikvidat [17]3 years ago
3 0

upstream means going in opposite direction of river's current

downstream means going in same direction of river's current

Let the speed of river's current be x km/hour

so net speed of boat in upstream = (9-x) km/hour

net speed of boat in downstream = (9+x) km/hour

total time taken = 2 hours 40 minutes = 8/3 hours

total time taken = time in upstream + time in downstream

( time = distance / speed)

8/3 = 6/(9-x) + 6/(9+x)

solving for x

x = 6.36 km/hour

so speed of river's current = 6.36 km/hour


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