A group of college students is volunteering for Help the Homeless during their spring break. They are putting?

Question

A group of college students is volunteering for Help the Homeless during their spring break. They are putting the finishing touches on a house they built. Nita can paint a certain room in 3 hours, while Jorge can paint the same room in 4 hours. What equation can be used to determine how long it will take them to paint the room together? Additionally, how many hours will it take them to complete the painting together? 
1) x/3 + x/4 = 1, 1.71 hours
2) 3/x + 4/x = 1, 1.75 hours
3) 3 + 4 = x; 1.83 hours
4) 3/4 + x = 1, 3.5 hours

Anonymous · Accepted Answer

If Nita can do the room in 3 hrs then in 1 hr she will do 1/3 of the room;  similarly , in 1 hr., Jorge will do 1/4 of the room, so if they work together , in 1 hour they will paint 1/3 + 1/4 of the room;  to add those two fractions we change them both to the common denominator of 12, so that becomes 4/12 + 3/12 = 7/12.  To find out how long to paint the whole room (i.e. 12/12) we divide 1 (i.e. 12/12) by 7/12, and to divide by a fraction you turn the fraction upside upside down and multiply instead, so we get 1 * 12/7 = 12/7 = 1.71428&hellip;.hours i.e. Answer (1).  In their options they haven&rsquo;t said what x is supposed to represent, so I assume it is the area of the room.

Anonymous · Answer

Ans. If x is the time required, then 1) is the answer.explanation:x=1/(1/3+1/4)=>
x/3+x/4=1.

Anonymous

A group of college students is volunteering for Help the Homeless during their spring break. They are putting?

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