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Gala2k [10]
3 years ago
10

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. W

hat is the current Of the water? I NEED HELP!
Mathematics
1 answer:
quester [9]3 years ago
4 0

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)

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