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Q.

If Sachin takes 10 days to complete work and Rohan takes 15 days to complete the same work. It will take ____ days for both of them to do the same work together.

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Detailed Solution

Concept- It will take 6 days for both of them to do the same work together. First, consider the entire amount of labor as w. Find the job completed by Sachin and Rohan in one day. Then put them together and divide the total labor to get the needed result.
Time taken by Sachin to complete a work

days
Thus, work done by Sachin in 1 day

Time taken by Rohan to complete a work

days
and work done by Rohan in 1 day

Finally, work done by both Rohan and Sachin in 1 day

Hence,

of the work is done by both in

day
Complete work is done by both in

days
Hence, the answer is 6 days.

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