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
VladimirAG [237]
3 years ago
14

A boat travels for 7 hours. if it travels 4 hours downstream and 3 hours upstream. ten t covers a distance of 116 km. but if it

travels 3 hours downstream and 4 hours uptream, it covers the distance of 108 km. find the speed of the boat.
Mathematics
1 answer:
nadya68 [22]3 years ago
5 0
Speed = Distance / Time
Distance = Speed*Time

For this problem, we should bear in mind that current speed has an impact on the boat speed...

for upstream, the boat goes against the current, and so its speed is

U = V - C

where V is the speed of the boat
C is the current speed

for downstream, it will be:

D = V + C

Convert the problem into mathematical equations:

4D + 3U = 116
3D + 4U = 108

4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116

3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108

Solving the equations:

7V + C = 116
7V - C = 108

14V = 224
V = 16km/hr —-> speed of boat

to get C:
7(16) + C = 116
C = 4km/hr

You might be interested in
Juniors and seniors were surveyed about whether they plan to attend a school dance.
allochka39001 [22]
Mistake D. The response from seniors was reversed.
4 0
2 years ago
Kim will say 50% in she opens a credit card she wants to buy a jacket for 120 what will be her savings
Maurinko [17]

Answer:

Kims savings will be $60.

Step-by-step explanation:

120 * .50 = 60

7 0
3 years ago
What is the x integer for the equation y=3x- 2
Aleksandr [31]

Answer:

maybe x=0=>y=1 or maybe x=0=>y=-2

8 0
3 years ago
I need help bbbbbbbb​
Sav [38]
Answer: 180cm


Explanation:

The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.

1/2(6)(12) = 36cm
Multiply by 4 = 144


For square: 6 • 6 = 36cm


144cm + 36cm = 180cm
8 0
3 years ago
A group of three friends order a combo meal which includes two slices of pizza and a drink. Each drink is priced at $2.50. If th
Fittoniya [83]

Answer:

Step-by-step explanation:

2.5(3)

31.5-(2.5*3)

31.5-7.5

24/3=8

$8 per slice

6 0
3 years ago
Other questions:
  • If 40 percent of a movie ticket costs $5.00 what is 20 percent of the cost of two tickets
    8·1 answer
  • There are 38 pockets on an american roulette wheel: 18 red, 18 black, and 2 green. if you were to randomly spin an american roul
    15·1 answer
  • If there are always 2 red sections, how does the number of total sections in the spinner relate to the theoretical probability o
    15·1 answer
  • Which sequences are geometric? Check all that apply.
    6·1 answer
  • Find the value of x that will make A||B.<br> A<br> B<br> 4x<br> 2x<br> X =<br> ?
    15·1 answer
  • The line L passes through the points (0, –2) and (6, 1).<br><br> Find an equation of the line L.
    15·2 answers
  • Students in the fifth-grade class bought 30 yards of fabric to make pennants for a pep rally. Each pennant requires 1/3 yard of
    7·2 answers
  • Point A is located at (-4,\ 9)(−4, 9) on the coordinate plane. Point B is located at (-4,\ -7)(−4, −7). ​What is the distance be
    9·1 answer
  • Helppppp me please heheheh
    11·2 answers
  • The ratio of tomatoes to pepper plants in the garden is 5:2. If there are 6 more tomato plants than pepper plants, how many pepp
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!