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
Find the value<br> 100cm-10mm
likoan [24]

Answer:

99 cm

Step-by-step explanation:

100 cm - 10 mm = 99 cm

hope it helped u..

3 0
3 years ago
Read 2 more answers
Can you help me with this
hichkok12 [17]

Answer:

37/24

Step-by-step explanation:

Since the denomenators must be consistent, both 8 and 12 have the common factor of 24.

the denominator of 8 must be multiplied by 3 to get to 24, but to multiply the denominator you must multiply the numerator by 3 which gives you

15/24

the denominator of 12 must be multiplied by 2 to get 24, so you must multiply 11 by 2 as well to get

22/24

add them together to get 37/24

8 0
3 years ago
The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the
LUCKY_DIMON [66]

Answer:

Graph D

Step-by-step explanation:

Look, I'm trying here, I tried the graphing calculator and it appeared as Graph D

8 0
3 years ago
Read 2 more answers
SOMEONE HELP ME PLS I DONT UNDERSTAND AND GIVE ONE OF THE SELECTED OPTIONS PLS :)
VLD [36.1K]
X = 130°

they are alternate exterior angles. the one you have highlighted is correct.
4 0
2 years ago
Ethan has 3 pounds of mixed nuts. How many ounces of mixed nuts does Ethan have?
almond37 [142]
There are 16 ounces in a pound so all you have to do is multiply 16 and 3.
16*3=48
ANSWER= 48 ounces
5 0
2 years ago
Other questions:
  • The function f(x) = 2x^2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?
    9·1 answer
  • Tessa bought stock in a reastraunt for $192.00.Her stock is now $282.24.What is her percent increase?
    15·2 answers
  • A news reporter wants to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming el
    13·1 answer
  • Match the terms to their definition. 1 . a sequence in which a fixed amount is added on to get the next term arithmetic sequence
    11·1 answer
  • 243.875 to nearest tenth, hundredth, ten, and hundred
    14·1 answer
  • Need help ASAP<br> What are the domain and range of the function
    12·1 answer
  • What do it equal 1 1/3+ 1 3/7
    11·2 answers
  • 8. Paris used a semicircle, a rectangle, and a right triangle to form the figure shown.
    9·1 answer
  • How do you subtract fractions with different denominators (I completely forgot)​
    7·1 answer
  • A man sold an article for $90, thus making 12.5% profit what is the price of the article
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!