Answer:
12 miles per hour
Step-by-step explanation:
Let speed of boat in still water be "x"
and speed of current be "c"
So, downstream rate would be "x + c"
And, upstream rate would be "x - c"
Now, given c = 4
We can use the distance formula, D = RT, where
D is distance, R is rate, and T is time
to solve this.
Downstream:
D = RT
92 = (x+4)(t)
Upstream:
D = RT
46 = (x-4)(t)
Both the times are same, we can equate both the times. Lets simplify first:
t = 92/(x+4)
and
t = 46/(x-4)
Equate:
Now, cross multiply and solve for x to get our answer:
Speed of Boat (in still water) = 12 mph
Answer:
−2(x−1)
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
The solution for x – y = - 3 and 2x + y = 12 by solving linear systems by substitution is (x, y) = (3, 6)
<u>Solution:</u>
Given, two system of equations are x – y = - 3 ⇒ (1)
And 2x + y = 12 ⇒ (2)
We have to solve the given system of equations by substitution method.
Now, we can write (1) as x – y = - 3 ⇒ x = y – 3
Then, substitute x value in (2)
(2) ⇒ 2(y – 3) + y = 12
⇒ 2y – 6 + y = 12
⇒ 2y + y = 12 + 6
⇒ 3y = 18
⇒ y = 6
So, substitute y value in (1) ⇒ x – 6 = - 3
⇒ x = 6 – 3
⇒ x = 3
Hence, the solution of system of equations is (x, y) = (3, 6)
