Question

A boat travels 12 Mph in still water. It can travel 18 miles upstream in the same time that it can travel 24 miles downstream. What is the current Of the water? I NEED HELP!

Answer 1

Answer:

The current of the water is 1.714 mph.

Step-by-step explanation:

Let the boat in t hours can travel 18 miles upstream, and  24 miles downstream.

Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write  

$\frac{18}{t} = 12 - x$ ........ (1) and  

$\frac{24}{t} = 12 + x$ ............ (2)

Now, adding those two equations (1) and (2) we get,

$\frac{18}{t} + \frac{24}{t} = 24$

⇒ t = 1.75 hours.

Now, from equation (1) we get

$\frac{18}{1.75} = 12 - x$

⇒ x = 1.714 mph

Therefore, the current of the water is 1.714 mph. (Answer)