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
hammer [34]
2 years ago
7

Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut

es. If the river flows at 5 km/hr, how fast can Kelli swim in still water?
Mathematics
1 answer:
solmaris [256]2 years ago
4 0

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

You might be interested in
Tyler is 8 years old. His sister Olivia is 4 years less than twice his age. Write a numerical expression for Olivia's age in the
Marat540 [252]
Numerical expression:

2 * 8 - 4 or 12

Good luck :)
6 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
BaLLatris [955]

Answer:

f^{-1} = \frac{x-1}{2}

Step-by-step explanation:

f(x) = 2x+1

<em>Replace it with y</em>

y = 2x+1

<em>Exchange the values of  x and y</em>

x = 2y+1

<em>Solve for y</em>

x = 2y+1

<em>Subtracting 1 from both sides</em>

2y = x-1

<em>Dividing both sides by 2</em>

y = \frac{x-1}{2}

<em>Replace it by </em>f^{-1}

So,

f^{-1} = \frac{x-1}{2}

3 0
3 years ago
Read 2 more answers
PLEASE I NEED HELP ASAP
Amanda [17]
Yes there is enough ribbon for a bow
4 0
2 years ago
What are the values for the coefficients and constant term of 0 = 2 + 3x2 - 5x?
pav-90 [236]

Answer:

Step-by-step explanation:

a=3

b=-5

c=2

7 0
3 years ago
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 45 minutes ?
Oksana_A [137]

Answer: The car will travel 30 2/3 miles in 45 minutes.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Can I get help on all these please
    5·1 answer
  • A population of 3000 people doubles in size every 10 years. Determine the population after 50 years.
    8·1 answer
  • The equation –3y = 15 – 4x rewritten in slope-intercept form is
    6·1 answer
  • √x=3x find x step by step​
    12·1 answer
  • Maris has 1,400 minutes to use on her cell phone. She has used 45% of her minutes. How many minutes has she used?
    10·2 answers
  • PLEASE HELP LOL<br> solve it then graph it
    13·1 answer
  • PLEASE HELP!!! SILL GIVE BRAINLIEST (2-52)
    7·2 answers
  • Please answer this question
    14·1 answer
  • A bucket holds 2 liters of water. How many milliliters of water can the bucket hold?
    11·1 answer
  • it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Posi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!