Question : Rohan alone can do a work in 10 days and Mohan alone can do the same work in 15 days. In how many days will they together complete the same work?
Option 1: 6 days
Option 2: 5 days
Option 3: 4 days
Option 4: 7 days
Correct Answer: 6 days
Solution :
Time taken by Rohan to do the work = 10 days
Part of work done by Rohan in a day = $\frac{1}{10}$
Time taken by Mohan to do the work = 15 days
Part of work done by Rohan in a day = $\frac{1}{15}$
Part of the work done by Rohan and Mohan in a day = $\frac{1}{10}$ + $\frac{1}{15}$ = $\frac{3+2}{30}$ = $\frac{1}{6}$
Time taken by Rohan and Mohan to do the work = 6 days
Hence, the correct answer is 6 days.
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