A boat traveled 504 miles downstream and back. The trip downstream took 14 hours. The trip back took 21 hours. What is the speed of the boat in still water? What is the speed of the current?

Answers

Answer 1
Answer:

The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Let the speed of the boat in still water be x and the speed of water be y.

A boat traveled 504 miles downstream and back. The trip downstream took 14 hours. Then the equation will be

x + y = 504 / 14

x + y = 36      ...1

The trip back took 21 hours. Then the equation will be

x - y = 504 / 21

x - y = 24       ...2

Add equations 1 and 2, then the value of x will be

2x = 36 + 24

2x = 60

x = 30 miles per hour

Then the value of y will be

30 - y = 24

y = 6 miles per hour

The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ2

Answer 2
Answer:

Answer:

The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.

Step-by-step explanation:

Let's say b is the speed of the boat in still water, and c is the speed of the current.

Distance = rate × time

Going downstream:

504 = (b + c) × 14

36 = b + c

Going upstream:

504 = (b − c) × 21

24 = b − c

Two equations, two variables.  Solve with substitution or elimination.  To use elimination, add the equations together.

60 = 2b

b = 30

Plug into any equation to find c.

36 = b + c

36 = 30 + c

c = 6

The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.


Related Questions

Benjamin collected 4 times as many bags as his friend. If his friend collected 2/5 of a bag, how much did Benjamin collect? Write the answer as a mixed number.
Of the students in Rosales dance class 29 out of 58 have participated in dance class before. about how many of her students have participated in dance class before?A.0B.1/2 C.1D.2
each student in ms sikes's kindergarten class has a box of crayons. each box has 36 crayons.if there are 18 students in ms sikes class how many crayons are there in all
javier has 15 pounds of flour in his cupboard. He wantsto make cookies. Each batch needs 1 1/2 pounds of flour. How many batches can he make?
How do i round to the nearest whole number:examples:  25.6, 327.9, 58.2, othersand fractions like this: 109 3/4 if i can round to the nearst  whole number teel me the answer if your on rite now∞ββ α thanks you will get a gift from me!!!

Paul cuts apples into cubes with a height of 1 1 fraction bar 3 in. He then coats the apples in caramel. Hiw much area is covered in caramel

Answers

ok so since we don't know how many cubes are covered, I will solve for how much area was covered on 1 cube
cube has 6 faces, all squares
area of square=side^2
therefor surface area (area covered by carmael)=6 times side^2
side=1 and 1/3
convert 1 and 1/3 to imporoper
1 and 1/3=1+1/3=3/3+1/3=4/3

Surface Area=6 times side^2
SA=6(4/3)^2
SA=6(16/9)
SA=96/9
SA=10 and 6/9
SA=10 and 2/3

answer is 10 and 2/3 in^2 is covered per cube
(if you are given a number of cubes, multiply 10 and 2/3 in^2 by number of cubes)

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun?

Answers

Answer: 5.2\cdot10^7\ km


Step-by-step explanation:

Given: The approx distance of planet Mercury from the Sun=5.8\cdot10^7\ km=58,000,000\ km

The distance of planet Venus from the Sun  =1.1\cdot10^8\ km=110,000,000\ km

We can see the

The difference distance of planet Venus from the Sun is more than the distance of planet Mercury from the Sun.

The difference between the distance = 110,000,000-58,000,000=52,000,000=5.2\cdot10^7\ km

Hence, the distance of Venus from the Sun is 5.2\cdot10^7\ km more than the distance of Mercury from the Sun.


mercury : 5.8 • 107 = 620.6
Venus : 1.1 • 108 =118.8

620.6 - 118.8 = 501.8

so Venus is about 501.8 kilometers from then sun then mercury

4 lbs of onions cost $12. How many lbs of onions can you get with $147? PLEASE SHOW WORK....

Answers

Answer:


Step-by-step explanation:if is it 12 per. pound just divide 147 by 12 and you get your answer hope it was helpful


Answer:

49 lbs of onions

Step-by-step explanation:

147/12 = 12.25

12.25 x 4 = 49

A boat travels at a constant speed after 20 minutes the boat has traveled 2.5 miles the boat travels a total of 10 miles to the bridge how long does it take the boat to reach the bridge

Answers

it would take 1 hour and 20 minutes hope it helps

4h - 6= 22-8s + 1= 33
-4w - 4= 8
5 +1/7b = -2
i need help on these problems!

Answers

4h−6=22
1. Add 6 to both sides.
4h−6+6=22+6
4h=28
2.Divide both sides by 4.
4h/4=28/4
h=7

−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
s=-4


4w
−4
=8
Step 1: Add 4 to both sides.
4w−4+4=8+4
4w=12
2: Divide both sides by -4.
4w/−4=12/−4
w=−3


Step 1: Simplify both sides of the equation.

1/7b+5=−2
 2: Subtract 5 from both sides.
1/7b+5−5=−2−5
17b=−7
3: Multiply both sides by 7.
7*(1/7b)=(7)*(−7)
b=−49

What is the volume of a sphere if it has a radius of 5 inches? (Use 3.14 for π.)

Answers

the volume for this sphere would be 523.6