Given
A boat travel is 140 miles downstream in the same time as it travels 92 miles upstream. The speed of the current is 6mph.
To find
The speed of the boat
Explanation
Let the speed of the boat be x
In case of downstream,
time taken is
[tex]\frac{140}{x+6}[/tex]
In case of upstream
time taken is
[tex]\frac{92}{x-6}[/tex]
Since time taken in both up stream and downstream are same
Thus,
[tex]\begin{gathered} \frac{140}{x+6}=\frac{92}{x-6} \\ \Rightarrow140(x-6)=92(x+6) \\ \Rightarrow140x-840=92x+552 \\ \Rightarrow48x=1392 \\ \Rightarrow x=29\text{ mph} \end{gathered}[/tex]
Conclusion
The speed of the boat is 29 mph
