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Paladinen [302]
3 years ago
15

Jennifer can clean her room in 2 hours, while John can clean the same room in 5 hours. How many hours would it take for them to

clean the room together?
7
10
seven tenths
ten sevenths


I think the answer is tenth sevenths but im not sure! Please Help ASAP
Mathematics
2 answers:
Tatiana [17]3 years ago
6 0
Ten sevenths. Hope this helps
Evgen [1.6K]3 years ago
3 0

Answer: ten sevenths

Step-by-step explanation:

Given: Time taken by Jennifer to clean her room t_1= 2 \text[ hours}

Time taken by John to clean same room t_2= 5\text[ hours}

If they work together to clean the room , then the total time taken by them is given by :-

\dfrac{1}{t}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}+\dfrac{1}{5}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{5+2}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{7}{10}\\\\\Rightarrow\ t=\dfrac{10}{7}\text{ hours}

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