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
Over [174]
3 years ago
8

you are traveling to an island that is accesible only by boat. you plan to take one boat there and a different boat back. You'll

be traveling on the steamboat and the yacht. The steamboat makes the trip in 5 hours. The yacht makes the trip in 2.5 hours. The yacht is 20 knots faster than the steamboat. For each boat, the trip time multiplied by the speed equals the distance traveled. You know both boats will travel the same distance. How fast is each boat traveling in knots (nautical miles per hour)?
Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

\text{Answer: }\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}

Step-by-step explanation:

Since we have given that

Time taken by steamboat makes the trip=5 hours

Time taken by yacht makes the trip =2.5 hours

Since we have also given that

the yacht is 20 knots faster than the steamboat,

So let the speed of steamboat be x

Let the speed of yacht be x+20

Now,  we have given that both boats will travel the same distance ,

So,

\text{Distance traveled by steamboat}=\text{ Distance traveled by yacht}\\\\x\times 5=(x+20)\times 2.5\\\\5x=2.5x+50\\\\5x-2.5x=50\\\\2.5x=50\\\\x=\frac{50}{2.5}\\\\x=20\text{ knots}

Hence,

\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}

You might be interested in
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2x + 6. What is the
matrenka [14]

Answer: y-8=-2(x+3)

Step-by-step explanation:

See attached image, it's direct formula substitution.

3 0
2 years ago
Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the
Ivanshal [37]

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

8 0
3 years ago
Will mark brainliest !!!<br> Solve for x.<br> 23=1000
BlackZzzverrR [31]

Answer:

x=10

Step-by-step explanation:

10x10x10 =1000

10^3=1000

6 0
3 years ago
Read 2 more answers
Statements Reasons
Otrada [13]

Answer:

Step-by-step explanation:

6 0
3 years ago
Product of seven and x
abruzzese [7]
<span>Product of seven and x = 7x
hope it helps</span>
5 0
3 years ago
Other questions:
  • What is the slope-intercept form of them equation of a line that passes through (5, -4) and has a slope of 3/4?
    11·1 answer
  • D=c-s/n answer for n
    10·1 answer
  • F = 4GD – m^3D <br><br> solve the equation for D. <br><br> can someone please solve ASAP.
    12·1 answer
  • How many triangles ?
    8·2 answers
  • 1,10, 100, 1000 what is next?​
    15·2 answers
  • PLEASE HELP I HAVE 3 MINS LEFT
    8·1 answer
  • Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Sho
    7·1 answer
  • Identify the angles of elevation and angles of depression ​
    6·2 answers
  • when 3 is divided by the sum of x and 8 ,the result is the same as dividing 2 by the sum of x and 3,find the number​
    12·1 answer
  • A soda can had a diameter of 6 cm . What is the circumference of the can?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!