Question

A can complete a work in 10 days and B in 5 days. Hiw much time will both take to complete the work?​

Answer 1

Answer = Both can complete the work in 10 days.

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Answer 2

Step-by-step explanation:

Given: A takes 10 days, and B takes 5 days.

To find: Total time taken to complete work.

To calculate the work completed by A in one day:

We know that A takes 10 days to complete work. Thus, work completed by A in one day,

⇒ $\frac{1}{10}$

To calculate the work completed by B in one day:

We know that B takes 5 days to complete work. Thus, work completed by b in one day,

⇒ $\frac{1}{5}$

To calculate the time taken by both to complete work:

Time taken by A for one day work $+$ Time taken by B for one day work

⇒$\frac{1}{10} + \frac{1}{5}$ $= total time$

We need to find LCM of $\frac{1}{10} and \frac{1}{5}$

The LCM is $10$.

⇒ $\frac{1}{10} + \frac{2}{10}$

⇒ $\frac{3}{10}$

Thus, the total time taken by A and B to complete the work is $\frac{3}{10}$