9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to nearest 10th

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as  

⇒

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write  

(Neglecting the negative root)

⇒ mph (Rounded to the nearest 10th) (Answer)

answer: sherk

step-by-step explanation:

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