A motor boat can travel upstream and downstream in hours. It can also travel upstream and return in hours. Calculate the speed of the boat when it is in still water in .
Step 1: Given data.
Step 2: Formula to be used.
Step 3: Find the speed of the boat in still water.
Assume that, the speed of the boat in still water is and the speed of the water steam is .
Therefore, the speed of the boat in upstream is and the speed of the boat in downstream is .
So, According to the first situation given in the question.
According to the second situation given in the question.
Assume that, and .
So, equation becomes:
And equation becomes:
Now, multiply equation by and by and subtract.
Now, substitute the value of in equation .
Since, and .
Therefore, the value of and .
Add equation and equation .
Therefore, the speed of the boat when it is in still water is .