We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:

B = speed of the boat in still water

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?

Rate problems are based on the relationship Distance = (Rate)(Time).

Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!

6 0

2 years ago

the sum of three numbers is 144. the third number is 4 times the first. the second number is 6 more than the first. what are the

Law Incorporation [45]

First I would change the descriptions of the numbers into expressions.

first number is n
second number is n + 6
third number is 4n (4 x n)

Then you would insert these expressions into an equation and isolate n.

n + n + 6 + 4n = 144
n + n + 4n = 144 - 6
6n = 138
n = 138/6
n = 23

Lastly, you would plug in this value into all of the expressions.

first number is 23
second number is 23 + 6 = 29
third number is 4(23) = 92

Therefore, the numbers are 23, 29, and 92.

7 0

2 years ago

$49.95 pair of shoes; 5% tax

Keith_Richards [23]

Answer:

$52.44

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

-3/4 + 1/5 find each sum with out using a number line

Maru [420]