Working together, it takes sam, jenna, and francisco two hours to paint one room. when sam works alone, he can paint one room in 6 hours. when jenna works alone, she can paint one room in 4 hours. determine how long it would take francisco to paint one room on his own.

 12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

i.e.  

i.e.  

i.e.  

i.e.  

i.e.  

i.e.  

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130