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
galina1969 [7]
3 years ago
6

a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of

the boat in still water and the speed if the current
Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour


When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)


now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)


When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)


plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8


plug value of y into (ii)

x=4+8=12


Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour


You might be interested in
Please help!!!! <br><br> If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Black_prince [1.1K]

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

f(1) = 2

Now, we find f(2) in function of f(1). So

f(1+1) = f(1)^2 - 3

f(2) = f(1)^2 - 3 = 2^2 - 3 = 1

Now, with f(2), we can find the value of f(3).

f(2+1) = f(2)^2 - 3

f(3) = f(2)^2 - 3 = 1^2 - 3 = -2

The value of f(3) is -2.

4 0
3 years ago
PLEASE HELP! EASY MATH!
-BARSIC- [3]

Answer:

X = 6

Step-by-step explanation:

2x + (-6x) = -24

2x - 6x = -24

-4x = -24

4x = 24

x = 6

4 0
3 years ago
Read 2 more answers
A school had 400 girls last year and the number of boys was 95 more than that of the girls. This year the number of girls had in
STatiana [176]

Answer: The fraction by what the number of boys had been reduced=1/11


Step-by-step explanation:

Step 1: To calculate the number of boys last year.

According to the question,

The number of boys last year= 400+95

The number of boys last year=495

Step 2: To calculate the number of girls this year.

According to the question,

The number of girls this year= 400 + 400*1/5

The number of girls this year= 480

Step 3: To calculate the number of boys this year.

According to the question,

The number of boys this year= 480 – 30

The number of boys this year=450

Step 4: To calculate the fraction by what the number of boys had been reduced.

The number of boys reduced= the number of boys last year - the number of boys this year

The number of boys reduced= 495 - 450 = 45

The fraction by what the number of boys had been reduced  

= The number of boys reduced/the number of boys last year

Therefore,

The fraction by what the number of boys had been reduced= 45/495= 1/11


6 0
3 years ago
Read 2 more answers
-3/2 is less than 3x solve​
sweet-ann [11.9K]

Answer:

anything above 1

Step-by-step explanation:

-3/2 = -1.5.

3 x -2 = -6

Nope

3 x -1 = -3

Nope

3 x 1 = 3 Yes!!

5 0
2 years ago
What is the length of the diagonal of the rectangle? Round to two decimal places
yan [13]

Answer:

Option C

Step-by-step explanation:

By the property of a rectangle,

"All interior angles of a rectangle measure 90°"

Therefore, m∠ABC = 90°

By applying cosine rule in the right triangle ABC,

cos(∠CAB) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(25°) = \frac{AB}{AC}

AC = \frac{AB}{\text{cos}(25)}

AC = \frac{18}{\text{cos}(25)}

AC = 19.86

Therefore, Option C will be the answer.

3 0
2 years ago
Other questions:
  • Drake will be twice Samantha's age in five years, when Samantha is twenty. What is the difference in age (in months) between Dra
    15·2 answers
  • M 4= 111 what is m 5
    15·1 answer
  • The quotient of 2x-1 and 3x +5
    10·1 answer
  • Why is pie considered an irrational number A. it is a non-repeating decimal B. the decimal never terminates C. both A and B D. n
    13·2 answers
  • The Fruity Juice Company has decided to produce and sell their juice Hairy Mango T M. They are about to begin production, but ne
    10·1 answer
  • David had been pricing bus fares for a group trip to New York. Three adults and four children must pay $159. Two adults and thre
    13·1 answer
  • 1. SPOTLIGHTS Ship A has coordinates (–1, –2) and Ship B has coordinates (–4, 1). Both ships have their spotlights fixated on th
    6·1 answer
  • Need Help with this question
    8·1 answer
  • A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many differe
    14·1 answer
  • Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does sh
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!