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Contact [7]
3 years ago
7

Kellen's boat travels 12 mph. Find the rate of the

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

<u>Answer:</u>

Rate of  river current is = 3 mph

<u>Explanation: </u>

Given speed of boat in still water is equal to 12mph

We know speed = distance divided by time

Given distance travelled upstream = 6 miles and

that  distance travelled downstream = 10 miles

Let x = rate of river current

and t = time taken to travel 6miles upstream as well as to travel 10 miles downstream

We know, speed downstream = speed of current + speed of boat = x + 12

Speed upstream = speed of current - speed of boat = x - 12

speed downstream = 10 divided by t and speed upstream = 6 divided by t  

so the two equations are -  

\frac{10}{t}=\mathrm{x}+12

and \frac{6}{t}=x-12

dividing the two equations we get  \frac{10}{6}=\frac{(x+12)}{(x-12)}

10 \times(\mathrm{x}-12)=6 \times(\mathrm{x}+12)

solving for x we get x = 3mph  is the rate of river current.

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