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
My name is Ann [436]
3 years ago
11

A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed down

stream to his starting point. How far did the fisherman row if the entire trip took 2 ​hours?
Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. The distance of how far the fisherman row if the entire trip took 2 hours is  9.6 miles

<u />

The speed of an object refers to the change of the object's distance within a specified time.

Mathematically, we can have;

\mathbf{Speed =\dfrac{distance}{time}}

Distance = speed × time

From the information given;

  • The fisherman row upstream for 4 miles/ hour.
  • The distance covered by the fisherman = 4 × t₁  ----- (1)

  • The fisherman row downstream at 6 miles/ hour
  • The distance covered by the fisherman = 6 × t₂  ------ (2)

  • SInce it took the entire trip 2 hours, we can infer that:

  • t₁ + t₂ = 2
  • t₂ = 2 - t₁

From equation (2), replace the above value of t₂ into equation (2)

  • d = 6 t₂
  • d = 6(2 - t₁)
  • d = 12 - 6t₁

From equation (1)

  • d = 4 t₁  

Equation both distance together, we have:

  • 12 - 6t₁ = 4t₁
  • 12 = 4t₁ + 6t₁
  • 12 = 10t₁
  • t₁ = 12/10
  • t₁ = 1.2  hours

From t₂ = 2 - t₁

  • t₂ = 2 - 1.2
  • t₂ = 0.8 hours

From d = 4t₁

Replace t₁ with 1.2 hours

  • d = 4(1.2 hours)
  • d = 4.8 miles

Also, from d = 6t₂

  • d = 6(0.8)
  • d = 4.8 miles

Therefore, we can conclude that the distance of how far the fisherman row if the entire trip took 2 hours is (4.8+4.8) miles = 9.6 miles

Learn more about distance here:

brainly.com/question/12319416?referrer=searchResults

You might be interested in
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior
Ne4ueva [31]

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

5 0
3 years ago
Which relation is a function?
zloy xaker [14]
<span>{(–1, 3), (5, 3), (–6, 7), (9, 0)} is the correct answer.
I hope this helped!

</span>
3 0
3 years ago
A DVD player that regularly sells for $325 is marked down to $225.75. What is the discount rate?
77julia77 [94]
The answer is 70% off
4 0
3 years ago
Which line is parallel to 8x+2y=12
Nat2105 [25]

x=3/2-1/4

8x+2y=12

move the variable to the right side and change the sign.

8x=12-2y

divide both sides of the equation by 8

x=3/2-1/4y

the final solution is

x=3/2-1/4y

4 0
3 years ago
Read 2 more answers
Select the equation has no solution. A) 2x + 17 - 7x - 6 = 8 - 10x - 19 + 5x B) 7 + 16x + 1 - 4x = 24 + 8x - 9 + 3x C) 9x - 3 +
AlexFokin [52]
These problems really aren't hard just set them equal to each other and see if what they are saying is true. Are they equal? Do they both equal 0?

8 0
3 years ago
Read 2 more answers
Other questions:
  • Simplifying rational expressions
    11·1 answer
  • How do I solve this problem?
    11·1 answer
  • what is an equation of the line that passes through the point (-5,-6) and is perpendicular to the line x+2y=2
    5·1 answer
  • How to solve v<br> 43.27×1.68
    11·1 answer
  • NEED AN ANSWER ASAP!!!! Lines s and t are parallel. picture not drawn to scale What is the measure of ACB? A. 96° B. 143° C. 133
    7·1 answer
  • 6 friends are going on a trip and are splitting the cost of a rental house that is $534. How much does each person have to pay?
    12·2 answers
  • Desert County has had little rainfall. This table shows the amount of rainfall during the last 3 months.
    15·1 answer
  • Question 1 (1 point)
    15·2 answers
  • Let f(x) = 3x² + 1 and g(x) = x +4. <br><br> Find (f +g)(x) <br><br> and (f -g)(x).
    8·1 answer
  • Find the distance between A(5, -2) B(3, -6)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!