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
wlad13 [49]
3 years ago
8

A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to m

ake the trip. Let x represent the speed of the boat and let y represent the speed of the water.
(a) Write an expression for the distance traveled in moving water, using 3.6 h for the time. Then write an expression for the distance traveled as if in still water, using 4.5 h for the time.
(b) Set the expressions in Part (a) equal to each other. Then solve the equation for y. Show your work.
(c) What percent of the boat’s speed is the water current?
Mathematics
1 answer:
salantis [7]3 years ago
3 0
Given:

t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water

Required:
a) Expression of distance traveled with moving water with 3.6h
     Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current

Solution:

Working formula: 
distance = velocity*time

a) For travelling downstream, we get the equation

d = (x +y)*3.6

For travelling upstream, we get the equation

d = (x-y)*4.5

b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of

(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9

c) percentage = 1/9*100% = 11.1%

<em>ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
</em>
                     <em>b) y = x/9
</em>                     <em>c) 11.1%</em> 

You might be interested in
I need help on both questions!
ankoles [38]

Answer:

9 sq.m

Step-by-step explanation:

because the area of triangle is 1/2 *b*h

8 0
3 years ago
Read 2 more answers
A dozen roses cost $60.00. What is the cost of two roses?
Andreas93 [3]
Divide 60 by 12 and thats ur answer its 5...
5 0
3 years ago
Read 2 more answers
Which equation is a linear function? (a)y=2×-1 (b) y=x/2-5 (c) y=x power of 2+7<br> (D) 2/x+3
ANTONII [103]
Assuming you didn't forget parentheses, it's C. Hope this helped.
4 0
3 years ago
Lindsey's math certificate is 17 centimeters tall and 31 centimeters wide. Lindsey wants to put the certificate in a fancy frame
igor_vitrenko [27]
 i believe it would be 96 dollars.

3 0
3 years ago
Read 2 more answers
Can somebody help me please
GrogVix [38]
1500 dollars I believe
6 0
2 years ago
Other questions:
  • How can you write the expression with a rationalized denominator? square root of three minus six over square root of three plus
    15·1 answer
  • If p= 3 and q= -3, find the value of:
    11·1 answer
  • Generate equivalent fractions for 1/2. Rename this fraction 5 or more times.
    13·1 answer
  • Line l has a slope of 1.2. What is the slope of line p that is parallel to line l
    11·1 answer
  • If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water
    13·1 answer
  • What property of addition is shown?<br> k+0=k
    14·2 answers
  • Plss help mehhhhhhhhhhh pls
    6·1 answer
  • How do you prove each of the following properties of a parallelogram?
    14·1 answer
  • A ruby throated humming bird beats its wings 159 times in 3 seconds. How many times does the ruby throated hummingbird beats its
    7·2 answers
  • Prove that the two circles shown below are similar.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!