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BLESSEDKIDD1998
11.12.2019 •
Mathematics
It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upatream. find the rate of the kayak in still water.
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Ответ:
The speed of Kayak in still water is 3.5 miles per hour .
Step-by-step explanation:
Given as :
The distance cover in downstream = 12 miles
The time taken to paddle downstream = 3 hours
The distance cover in upstream = 12 miles
The time taken to paddle upstream = 4 hours
Let the speed of Kayak in still water = x mph
And The speed of current = y mph
Now, Speed =![\dfrac{\textrm distance}{\textrm time}](/tpl/images/0412/7258/b6d30.png)
For downstream
x + y =![\dfrac{\textrm distance}{\textrm time}](/tpl/images/0412/7258/b6d30.png)
Or, x + y =![\frac{12}{3}](/tpl/images/0412/7258/be5fd.png)
∴ x + y = 4 miles per hour ............A
For upstream
x - y =![\dfrac{\textrm distance}{\textrm time}](/tpl/images/0412/7258/b6d30.png)
or, x - y =![\frac{12}{4}](/tpl/images/0412/7258/d4dea.png)
∴ x - y = 3 miles per hour .........B
solving eq A and B
So, ( x + y ) + ( x - y ) = 4 + 3
Or, ( x + x ) + ( y - y ) = 7
Or, 2 x + 0 = 7
∴ x =![\frac{7}{2}](/tpl/images/0412/7258/447a9.png)
I.e x = 3.5 mph
so, speed of Kayak = x = 3.5 mph
Hence The speed of Kayak in still water is 3.5 miles per hour . Answer
Ответ:
Answer and Step-by-step explanation:
According to the given situation, The r-value associated with the ordered pairs for the linear function is very nearest to zero which does not results in adequate presentation of the outcome.
A quadratic model could properly comprise of a combination of data, as the set of data has a turning point.
This result in data rises and falls which represents the graph of quadratic's graph