Mathematics High School

Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden?

Answers

Answer 1

Answer:

48 and 9

Step-by-step explanation:

36/x + 5x-36/x+3 = 5-0.25

Answer 2

Answer:

9 and 48 km/hr

Step-by-step explanation:

The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used

Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.

Related Questions

Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️

Answers

Answer:

The answer is the second one!

Have a wonderful day/night! <3

HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE

Answers

Answer:

1. False

2. True

3. True

Step-by-step explanation:

Which one doesn’t belong?
Come up with one reason for at least 3 different boxes

Answers

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Other Questions
Hazel schedules the work of several different departments in a factory and makes sure they stay on schedule. Her jobtitle is best described asRenita hand packages delicate items for shipping. Her job title is best described asPrince buys materials for a plant that manufactures cars. His job title is best described asMason operates equipment to package products for shipping. His job title is best described as5) IntroDone What is the answer when you simplify it?[tex]7^{2} +2(\sqrt{81} +\sqrt{49} )[/tex] The Raven by Edgar Allen Poe#3 Which phrases in the lines reflect the authors use of alliteration? SELECT 3Read the following lines from the poem.Deep into that darkness peering, long I stood there wondering, fearing,Doubting, dreaming dreams no mortal ever dared to dream before;But the silence was unbroken, and the darkness gave no token,And the only word there spoken was the whispered word, Lenore!This I whispered, and an echo murmured back the word, Lenore!Merely this and nothing more.Which phrases in the lines reflect the authors use of alliteration? Select three options.A. Deep into that darkness peering,B. long I stood there wondering, fearing,C. Doubting, dreaming dreamsD. But the silence was unbroken,E. was the whispered word, Lenore! Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark. How much shorter with their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead? pls answer this i have no clue The United States became involved in World War II primarily because B) European democracies supported United States policies toward Germany and Japan B) European democracies supported United States policies toward Germany and Japan D) the Japanese empire bombed the US Naval base at Pearl Harbor, Hawaii D) the Japanese empire bombed the US Naval base at Pearl Harbor, Hawaii C) President Franklin D. Roosevelt did not enforce the Neutrality Acts C) President Franklin D. Roosevelt did not enforce the Neutrality Acts A) Germany refused to pay its debts from World War I A) Germany refused to pay its debts from World War I Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers. Please answer correctly! I will mark you Brainliest! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! For the U.S. soft drink market, of the 300 million people in the U.S., 80% of the population is the maximum number of consuming units. The average soft drink consumer buys 365 soft drinks a year at an average price of $0.98 per drink. What is the annual market potential of soft drink in dollar value What is the median for the following data set? 5,7,9,11,13,13A. 10B. 8C. 9D. 11 What factors contributed to the large human Loss in the Civil War? This is the equation: f(x)=x^2e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?f) Does f(x) have a maximum or minimum? If so, at what point?g) What are the x-intercept(s) of f(x)? please help i am giving brainliestMatch the words or expressions that mean the same.a. la puerta de embarque b. es necesario c. de vez en cuando d. una demorae. abordar f. una fila1. a veces 2. un retraso 3. embarcar 4. una cola 5. hay que 6. la puerta de salida No links Roger wants the human resources department to focus on attracting the right employees, measuring their progress toward corporate goals, and rewarding employees for achieving those goals. What is the department focusing on?A. talent managementB. strategic human resources managementC. succession planningD. external recruitmentE. reemployment What is the setting of Ruthless? VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST. Canada makes pollution but has huge amounts of forest. 1/Economic deficit2/Ecological deficit3/Economic reserve4/Ecological reserve Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189? x/3 less than or equal to 7