Question

Amit can do a pice of work in 10 days , while sumit can to the same work in 15 days. how long will they take to do the same work , when working together?​

Answer 1

Answer:

20 DAYS

Step-by-step explanation:

Answer 2

Given: Time taken by Amit to finish the work = 10 days

            Time taken by Sumit to finish the work = 15 days

To find: How much time will they take to finish the work together

Solution:

If Amit takes 10 days to finish the work and Sumit takes 15 days to finish the work,

Work done by Amit in 1 day = $\frac{1}{10}$

Work done by Sumit in 1 day = $\frac{1}{15}$

Work done by both of them together in 1 day = $\frac{1}{10} \ + \ \frac{1}{15} = \frac{3 \ + \ 2}{30} = \frac{5}{30} = \frac{1}{6}$

So, time taken by them to finish the work together = $\frac{6}{1}$ i.e., 6 days.

Hence, they will take 6 days to do the same work, when working together.