Given,
Time taken by motorboat to going 200 miles upstream is 5 hours.
Time taken by motorboat to going 200 miles downstream is 4 hours.
At upstream,
The speed of boat is offosed by the speed of current.
At downstream,
The speed of boat is incraesed by the speed of current.
Consider,
The speed of boat is b.
The speed of current is c.
The speed is calculated as,
![\begin{gathered} \text{Speed=}\frac{dis\tan ce}{time} \\ b-c=\frac{200}{5} \\ b-c=40 \\ b=c+40\ldots\text{.}\mathrm{}(1) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BSpeed%3D%7D%5Cfrac%7Bdis%5Ctan%20ce%7D%7Btime%7D%20%5C%5C%20b-c%3D%5Cfrac%7B200%7D%7B5%7D%20%5C%5C%20b-c%3D40%20%5C%5C%20b%3Dc%2B40%5Cldots%5Ctext%7B.%7D%5Cmathrm%7B%7D%281%29%20%5Cend%7Bgathered%7D)
Similarly,
![\begin{gathered} \text{Speed=}\frac{dis\tan ce}{time} \\ b+c=\frac{200}{4} \\ b+c=50 \\ b=50-c\ldots\text{.}(2) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BSpeed%3D%7D%5Cfrac%7Bdis%5Ctan%20ce%7D%7Btime%7D%20%5C%5C%20b%2Bc%3D%5Cfrac%7B200%7D%7B4%7D%20%5C%5C%20b%2Bc%3D50%20%5C%5C%20b%3D50-c%5Cldots%5Ctext%7B.%7D%282%29%20%5Cend%7Bgathered%7D)
Substituting the value of b from equation (2) then,
![\begin{gathered} c+40=50-c \\ 2c=10 \\ c=5\text{ mile per hour} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%2B40%3D50-c%20%5C%5C%202c%3D10%20%5C%5C%20c%3D5%5Ctext%7B%20mile%20per%20hour%7D%20%5Cend%7Bgathered%7D)
Substituting the value of c in equation (1) then,
![\begin{gathered} b=5+40 \\ b=45\text{ mile per hour} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%3D5%2B40%20%5C%5C%20b%3D45%5Ctext%7B%20mile%20per%20hour%7D%20%5Cend%7Bgathered%7D)
Hence, the speed of boat is 45 mile per hour and speed of current is 5 mile per hour.
Answer:
100°
since being sum of angles of triangle
Answer:
C) y = 7 x minus 3
Step-by-step explanation:
Function A has a slope of -8
Function B has a slope of -2
Function C has a slope of 7
Function D has a slope of 6
The function with the steepest slope is function C.
I think that's the side angle side similarity theorem
<h2>
Answer:</h2>
The method suggested by Bobby is better than Allie.
<h2>
Step-by-step explanation:</h2>
A fair sample is a sample where each sample has an equal opportunity to get selected for any survey.
Here, in the given question, Allie suggested that the first 3 students to arrive in class the next day should be the representatives. This sample is not random or fair.
Whereas, Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. This method is a fair method.
The method suggested by Bobby is better than Allie as every student will get an equal chance to perform and also has an equal chance to win and get a high sum.