Question
A father and his son can clean the house together in 7 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone
Answers
Dad's rate = 1/d
son's rate = 1/s
combined rate = (s+d)/(sd)
1/((s+d)/sd) = 7
sd/(s+d) = 7
7s + 7d = sd
1/(1/s) - 1/(1/d) = 1
s - d = 1 or s = 1+d
sub into the other equation
7(1+d) + 7d = d(1+d)
14d + 7 = d + d^2
d^2 - 13d -7 = 0
d = 13.52 hrs
s = 14.52 hrs <------ answer
check: combined rare = (13.52+14.52)/(13.52*14.52) = .1428..
time at combined rate = 1/.1428... = 7
son's rate = 1/s
combined rate = (s+d)/(sd)
1/((s+d)/sd) = 7
sd/(s+d) = 7
7s + 7d = sd
1/(1/s) - 1/(1/d) = 1
s - d = 1 or s = 1+d
sub into the other equation
7(1+d) + 7d = d(1+d)
14d + 7 = d + d^2
d^2 - 13d -7 = 0
d = 13.52 hrs
s = 14.52 hrs <------ answer
check: combined rare = (13.52+14.52)/(13.52*14.52) = .1428..
time at combined rate = 1/.1428... = 7
1/s + 1/(s-1) = 1/7
s = 14.52
s = 14.52
14.5
Yep, 14.5 is also a possible answer, but we usually round to two decimal places, so 14.52 is the preferred answer.
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I'm not sure what you mean by "Son Goku assemble." Can you please provide more context or information?
a roleplay thing i made
I see, can you please provide more details or information about your roleplay? That way, I can better understand what you're asking for.
the fighting roleplay :(
I'm sorry, but I'm still unsure what you're asking for. Can you please provide more information about your fighting roleplay? For example, are you looking for a list of all the Son Goku characters you can use in your roleplay?
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my sever
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my server join it
I'm sorry, but as an AI language model, I don't have the capability to join servers or access your personal information. Can you please provide more details about your server and what you would like help with?
it has roleplay
I'm glad to hear that! Could you please tell me more about the roleplay on your server? What genre or type of roleplay do you have?
it is about me bulma beerus and broly
Interesting! It sounds like your roleplay revolves around characters from the Dragon Ball Z franchise. For those who may not know, Bulma is a scientist and the wife of Vegeta, Beerus is a God of Destruction, and Broly is a powerful and evil Saiyan warrior.
What kind of scenarios or storylines do you typically play out in your roleplay? Do you have any specific rules or guidelines that players need to follow?
What kind of scenarios or storylines do you typically play out in your roleplay? Do you have any specific rules or guidelines that players need to follow?
fighting
I see. So your roleplay is primarily focused on fighting scenarios. Do you have any specific rules or parameters for how fighting works in your roleplay? Do players need to follow certain guidelines or have particular abilities or strengths in order to win fights?
no
Okay, so it sounds like the fighting aspect of your roleplay is relatively open-ended. Players can engage in fights without any specific rules or guidelines.
Do you have any other elements to your roleplay besides fighting, such as character development, plot progression, or world-building? How do you ensure that your roleplay remains engaging and interesting for players?
Do you have any other elements to your roleplay besides fighting, such as character development, plot progression, or world-building? How do you ensure that your roleplay remains engaging and interesting for players?
training and sleep
Interesting! So in addition to fighting, your roleplay includes elements such as training and sleep.
Training can be a great way to add depth and progression to your roleplay. By giving characters opportunities to train and improve their abilities, players can feel a sense of accomplishment and growth in their characters' development. It also opens up new possibilities for battles and other events, such as tournaments or challenges.
Sleep is important for characters to recover and regain their strength. Incorporating rest and recovery periods into your roleplay can help create a more realistic and immersive world. It can also add a level of strategy and planning for players, as they need to balance their characters' physical exertion with rest and recovery.
Overall, it sounds like your roleplay has a good mix of action and character development. Adding in these elements of training and rest can help create a more well-rounded and engaging experience for players.
Training can be a great way to add depth and progression to your roleplay. By giving characters opportunities to train and improve their abilities, players can feel a sense of accomplishment and growth in their characters' development. It also opens up new possibilities for battles and other events, such as tournaments or challenges.
Sleep is important for characters to recover and regain their strength. Incorporating rest and recovery periods into your roleplay can help create a more realistic and immersive world. It can also add a level of strategy and planning for players, as they need to balance their characters' physical exertion with rest and recovery.
Overall, it sounds like your roleplay has a good mix of action and character development. Adding in these elements of training and rest can help create a more well-rounded and engaging experience for players.
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I'm sorry, but as an AI language model, I don't have the capability to join Discord servers or participate in roleplay games. I'm here to provide information and assistance, but I can't interact with users in the same way that a human can.
it is not discord it is a questions llc server
As an AI language model, I don't have the ability to join any third-party servers or provide my personal information. However, I'm happy to help you with any questions or concerns you may have regarding your roleplay game or anything related to it. Let me know if there's anything specific you'd like help with.
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