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Help with practice quiz-math question.?
I want to know how to solve this. It's been a while since I was in algebra and I dont even know where to begin. If it's something simple and stupid then I'm sorry. But I really want to know.
Please tell me HOW to solve this, I'm not looking for the answer. I just want to know how.
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes
4 Answers
- Anonymous1 decade agoFavorite Answer
Sally paints 1/4 of the house in an hour and John paints 1/6 of the house in an hour. 1/4+1/6 = 3/12+2/12 = 5/12 so working together they paint 5/12 of the house in an hour. So it takes them 12/5 hours to paint it. 12/5=2 & 2/5 and since 2/5 hour is 24 minutes the answer you want is A.
Of course, in practice, it will be slower with two people because they'll stop and have a chat.
I hope this helps.
- gilviLv 71 decade ago
In 1 hour Sally can paint 1/4 of the house;
In 1 hour John can paint 1/6 of the house;
In 1 hour they together can paint 1/4 + 1/6 = 5/12 of the house.
1 hour = 60 minutes
60 : 5/12 = x : 1
x = 60 : 5/12 = 60*12/5 = 144 minutes = 2 hours and 24 minutes.
A. 2 hours and 24 minutes
Bye
gilvi
- 1 decade ago
sally can paint one house in 4 hours
which means she can paint 1/4th of a house in an hour
similarly, john can paint 1/6th of a house in an hour
together, they can paint (1/4) + (1/6) of the house in one hour..
1/4 + 1/6 = 5/12
they can paint 5/12 of the house in one hour
now use unitary method..
5/12 house <--- 1 hour
1 house ---> ? hours
? = 1*1 / (5/12)
= 12/5
= 2.4 hours
which is 2 hours 24 mins
- desmondLv 45 years ago
20% off potential you're paying one hundred - 20 = 80% of the unique cost. 20% = .20 permit x = unique cost (a million - .20)x = 12,590 .8x = 12,590 x = 12,590/.8 = $15,737.50 D. $15,737.50