Final answer:
To find the time required to travel 5 km in stationary water, we need to determine the speed of the boat in stationary water. By using the concept of relative velocity and setting up equations, we can find that the speed of the boat in stationary water is 3 km/h. Therefore, it would take 1 hour and 40 minutes to travel 5 km in stationary water.
Step-by-step explanation:
To find the time required to travel a specific distance in stationary water, we first need to determine the speed of the boat in stationary water. We can use the concept of relative velocity to solve this problem.
Let's consider the speed of the boat in stationary water as 'x' km/h. When rowing against the stream, the effective speed of the boat decreases by the speed of the stream. So the speed of the boat against the stream is (x - 1) km/h. Similarly, when rowing along the current, the effective speed of the boat increases by the speed of the stream. So the speed of the boat along the current is (x + 1) km/h.
According to the given information, the boat travels 2 km in 1 hour against the stream and 1 km in 10 minutes along the current.
We can set up the following equations:
(x - 1) km/h = 2 km/h
(x + 1) km/h = 10 km/h
Solving these equations, we find x = 3 km/h.
Now we can determine the time required to travel 5 km in stationary water:
Time = Distance / Speed = 5 km / 3 km/h = 1.67 hours = 1 hour and 40 minutes.