1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kherson [118]
3 years ago
8

A motorboatcan go 8 miles downstream on a river in 20 minutes. It takes 30 minutes for the boat to go upstream the same 8 miles.

Find the speed of the cutrent.
Mathematics
1 answer:
True [87]3 years ago
5 0
<span>Let m = speed of motorboat
and c = speed of current
.
When going downstream, current speed is added to boat speed -- and, the total speed is "8 miles downstream in 20 minutes"
.
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/20 mins) * (60 mins/1 hour) = 24 mph
.
This gives us our first equation (1):
m+c = 24
.

When going upstream, the boat speed is reduced by the current -- and, the total speed is "8 miles in 30 minutes".
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/30 mins) * (60 mins/1 hour) = 16 mph
.
This gives us our second equation (2):
m-c = 16
m = 16+c
.
Plug the above into equation 1 and solve for c:
m+c = 24
16+c+c = 24
16+2c = 24
2c = 8
c = 4 mph </span>
You might be interested in
Can you please help me I do not know the meaning of these questions
Inessa [10]
1 g
2 h
3 c
4 e
5 d
6 j
7 i
8 l
9 b
10 f
11 k
12 a
7 0
3 years ago
Read 2 more answers
The first term of an arithmetic sequence is -5, and the tenth term is 13.
Leokris [45]

Answer:

Step-by-step explanation:

Let d be the common difference.

a₁₀ = a₁ + (10-1)d

13 = -5 + 9d

d = 2

5 0
2 years ago
Help how do I solve this
musickatia [10]
How do i solve 6x-12=36

5 0
3 years ago
What is the measure of angle WZX?
Aleksandr [31]
I hate Time4Learning. I took that back in middle school.

Here's how these expressions work together. First, you need to remember WZY is a right angle (90 degrees). Now, keep that in mind when we add both equation.

3c + 2c + 2 - 7 = 90

5c - 5 = 90

5c - 5 + 5 = 90 + 5

5c = 95

5c/5 = 95/5

c = 19. Now, put 19 in the place of c and solve.

3(19) + 2 = 57 + 2 =

59 degrees.

The measurement of angle WZX is equal to 59 degrees, B.
8 0
3 years ago
Find the AREA of the shape​
solmaris [256]

Step-by-step explanation:

LxB

8x7

equals :56

Area equals to 56cm

6 0
2 years ago
Other questions:
  • A rectangle has a length of 8.3cm and a permimeter of 22.4 cm. Enter the widty of the rectangle, in decimal form, in the box.​
    6·1 answer
  • Evaluate the permutation. 6 P 2
    9·2 answers
  • Tyron takes 3/4 hour to paint a wall. His brother takes 1/3 of the time he takes. How long will his brother take to paint 5 simi
    11·1 answer
  • HELPPPPPPP ASAP!!!!!!!!!!!!
    10·2 answers
  • Calculate the middle between -4 and 5
    15·2 answers
  • Which of the following graphs represents a function?
    8·2 answers
  • Does anyone know this answer ?
    7·2 answers
  • HELPPPP PLEASEE
    11·2 answers
  • The figure below is divided into 100 squares of equal size.
    9·2 answers
  • Solve for x.<br> 3(x + 5)-2(x+2)=20<br> 1<br> 9<br> 13
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!