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blancademarco1994
12.11.2019 •
Mathematics
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.
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Ответ:
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.![\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})](/tpl/images/0371/2184/a9008.png)
i.e.![\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})](/tpl/images/0371/2184/398c8.png)
i.e.![\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}](/tpl/images/0371/2184/11af9.png)
i.e.![\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}](/tpl/images/0371/2184/acb81.png)
i.e.![\dfrac{1}{t}=\dfrac{6-5}{12}](/tpl/images/0371/2184/64fd5.png)
i.e.![\dfrac{1}{t}=\dfrac{1}{12}](/tpl/images/0371/2184/b2a09.png)
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.
Ответ:
Total no. of students from all schools= 140+70+35+105=350
school A= 140÷350×100=40./. (multiplying by 100 because it's the total percentage )
School B = 70÷350×100=20./.
School C = 105÷350×100=30./.
School D = 105÷350×100= 10./.
Consisting all the schools percentage it gives 100./.
Hope this helps