Shailendra, Amit and Suraj can complete a work in 6, 12 and 15 days respectively. Find the time taken to complete the work if they are working together.
Shailendra, Amit and Suraj can complete a work in 6, 12 and 15 days respectively. Find the time taken to complete the work if they are working together.
A60/17 days
B60/23 days
C60/19 days
D60/29 days
All DiscussionsClick here to write answer
\( \text{Shailendra's rate} = \frac{1}{6} \) per day
\( \text{Amit's rate} = \frac{1}{12} \) per day
\( \text{Suraj's rate} = \frac{1}{15} \) per day
\( \text{Combined rate} = \frac{1}{6} + \frac{1}{12} + \frac{1}{15} \)
\( \begin{aligned} \frac{1}{6} &= \frac{10}{60} \\ \frac{1}{12} &= \frac{5}{60} \\ \frac{1}{15} &= \frac{4}{60} \end{aligned} \)
\( \frac{10}{60} + \frac{5}{60} + \frac{4}{60} = \frac{19}{60} \)
\( \text{Total time taken} = \frac{1}{\frac{19}{60}} = \frac{60}{19} \) days
Final Answer: \(\boxed{\dfrac{60}{19}}\)
Post your answers here:
Post
