Question

A boat travel is 140 miles downstream in the same time as it travels 92 miles upstream. The speed of the current is 6mph. What is the speed of the boat? Number 431

Answer 1

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

Step-by-step explanation

Let the speed of the boat be x

In case of downstream,

time taken is

`(140)/(x+6)`

In case of upstream

time taken is

`(92)/(x-6)`

Since time taken in both up stream and downstream are same

Thus,

`\begin{gathered} (140)/(x+6)=(92)/(x-6) \\ \Rightarrow140(x-6)=92(x+6) \\ \Rightarrow140x-840=92x+552 \\ \Rightarrow48x=1392 \\ \Rightarrow x=29\text{ mph} \end{gathered}`

Conclusion

The speed of the boat is 29 mph