A River Is Flowing at a velocity of 0.15 m/s west. a swimmer swims against the current at a velocity of 0.22 east, how manyu hours will it take him to swim 1 km?
The swimmer's velocity relative to land is 0.22 - 0.15 = 0.07 m/s upstream.
The time to travel 1 km up river is
1000 m/0.07 m/s = 14,285 s
Finally, convert that to hours.
It's about 4 hours
To calculate the time it will take the swimmer to swim 1 km against the current, we need to convert the velocities to the same unit, such as kilometers per hour, and then use the formula:
Time = Distance / Speed
First, let's convert the velocity of the river from meters per second to kilometers per hour. There are 1000 meters in a kilometer and 3600 seconds in an hour:
0.15 m/s * (1 km / 1000 m) * (3600 s / 1 hour) = 0.54 km/h west
Now let's convert the swimmer's velocity from meters per second to kilometers per hour:
0.22 m/s * (1 km / 1000 m) * (3600 s / 1 hour) = 0.79 km/h east
Since the swimmer is swimming against the current, we need to subtract the velocity of the river from the swimmer's velocity:
Swimmer's net velocity = 0.79 km/h - 0.54 km/h = 0.25 km/h east
Now we can calculate the time it will take the swimmer to swim 1 km:
Time = Distance / Speed
Time = 1 km / 0.25 km/h
Time = 4 hours
Therefore, it will take the swimmer 4 hours to swim 1 km against the current.