Question

sohit, shailesh and rakesh can mow a lawn together in = 4 hrs sohit takes alone 10 hrs shailesh takes alone 12 hrs. how much time does rakesh take to mow a lawn if he work by himself ?​

Answer 1

Answer:

15 hours

Step-by-step explanation:

$\frac{1}{4} = \frac{1}{10} + \frac{1}{12} + \frac{1}{x} \\ \frac{1}{4} = \frac{6 + 5}{60} + \frac{1}{x} \\ \frac{1}{4} - \frac{11}{60} = \frac{1}{x} \\ \frac{1}{x} = \frac{15 - 11}{60} \\ \frac{1}{x} = \frac{4}{60} \\ x = \frac{60}{4} \\ x = 15$

Answer 2

Answer:

Answer:

15 hours

Step-by-step explanation:

\begin{gathered} \frac{1}{4} = \frac{1}{10} + \frac{1}{12} + \frac{1}{x} \\ \frac{1}{4} = \frac{6 + 5}{60} + \frac{1}{x} \\ \frac{1}{4} - \frac{11}{60} = \frac{1}{x} \\ \frac{1}{x} = \frac{15 - 11}{60} \\ \frac{1}{x} = \frac{4}{60} \\ x = \frac{60}{4} \\ x = 15\end{gathered}