A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of
3 answers
Question:
A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the boat in still water, if it covers 70 km with the current in 3.5 hours?
Answers
b
Step-by-step explanation:
R = speed in still water
r + c = speed with current
r - c = speed against current
3.5(r + c) = 70
r + c = 20
c = 20 - r
4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour
Speed of current y km/h
distance with the current = 4(x+y)
distance against the current = 5(x-y)
we know that 3.5(x+y) = 70
x+y = 20
but 4(x+y) = 4(20) = 80
then 5(x-y) = 80
x-y = 16
x+y=20
x-y=16
add them
2x = 36
x = 18 , then y = 2
Similar Solved Works
10 answers
Identify 3 challenges bricks construction may encounter when trying to implement their corporate social investment plan
Identify 3 challenges bricks construction may encounter when trying to implement their corporate social investment plan in the local community....
4 answers
How would you solve the ethnic turmoil in southern and eastern Europe? please answer
How would you solve the ethnic turmoil in southern and eastern Europe? please answer...
4 answers
Yooo anyone trynna join ah zoom? it can be anybody just fo fun also ima gurl u aint gotta have yo cam on and its wit me and ma sistmeeting
Yooo anyone trynna join ah zoom? it can be anybody just fo fun also ima gurl u aint gotta have yo cam on and its wit me and ma sist meeting id: 96300531299 password: mAZfz7...
4 answers
Please help me!!!:(A car drives 50 miles per hour. How fast is this in feet per second? Round the answer to the nearest tenthsplace.
Please help me!!!:( A car drives 50 miles per hour. How fast is this in feet per second? Round the answer to the nearest tenths place. Round your answer to the nearest tenths place. Thank you!!:)...
2 answers
How do you rewrite y-3=4(x-5) turn into slope intercept form? really important
How do you rewrite y-3=4(x-5) turn into slope intercept form? really important...
10 answers
Which system of equations best represents the situation below? A farmer grew his own tomatoes (a), Eggplants,
Which system of equations best represents the situation below? A farmer grew his own tomatoes (a), Eggplants, (b) and potatoes (c). He decided to package his Vegetables and price them as follows: [tex]Which system of equations best represents the situation below? A farmer grew his own tomat...
4 answers
A$120 wagon is on sale for 15 percent off. what is the sale price of the wagon
A$120 wagon is on sale for 15 percent off. what is the sale price of the wagon...
4 answers
Look at the two equations: -3x + 6 =21 -3x + 6 < 21 Which statement best describes the process used to solve the equations? In both cases, subtract
Look at the two equations: -3x + 6 =21 -3x + 6 < 21 Which statement best describes the process used to solve the equations? In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality. In both cases, divide by -3 on both sides, but reverse the ine...
3 answers
What can you say for the british side of the gaspee incident?
What can you say for the british side of the gaspee incident?...
3 answers
If you have a radius of 2 and an area of 7, what is the circumference?
If you have a radius of 2 and an area of 7, what is the circumference?...
3 answers
Hey its been a while, but hey guys, this is the only SocMed. i have really that's unblocked on my school laptop so that's why i use
hey its been a while, but hey guys, this is the only SocMed. i have really that's unblocked on my school laptop so that's why i use this app for these things, but hey if your not already, Subscribed, just reached 1.3k views on one of my videos, and just reached 40 subscribers! but if your not alread...
12 answers
A Big YearBy Bob KowalskiWould you go to the ends of the earth to see a bird? What if it were a really special bird: one with beautiful
A Big Year By Bob Kowalski Would you go to the ends of the earth to see a bird? What if it were a really special bird: one with beautiful feathers, an entrancing call, or a silly dance? What if seeing that one special bird would allow you to win a contest? If that contest doesn't get you on televis...
12 answers
Who is kp oli and who is his father and son
Who is kp oli and who is his father and son...
4 answers
How can i solve #4 knowing the answer for #3 this is a chemistry problem, i need
How can i solve #4 knowing the answer for #3 this is a chemistry problem, i need [tex]How can i solve #4 knowing the answer for #3 this is a chemistry problem, i need[/tex]...
4 answers
Find the midpoint of the segment with the following endpoints.(2,9) and (9,4)
Find the midpoint of the segment with the following endpoints. (2,9) and (9,4)...
10 answers
Identify the part of speech of the italicized word in each sentence
Identify the part of speech of the italicized word in each sentence [tex]Identify the part of speech of the italicized word in each sentence[/tex][tex]Identify the part of speech of the italicized word in each sentence[/tex][tex]Identify the part of speech of the italicized word in each sen...
4 answers
Write an effective conclusion to your diary to reflect on your experience and interest your audience.
Write an effective conclusion to your diary to reflect on your experience and interest your audience....