Ram can finish a piece of work 10 days while Shyam can do it in 15 days if both work together. What time will they take to do the work?

6 days

Total work = Efficiency × Time

Efficiency of both Ram and Shyam = 3 + 2 = 5

Time taken b both of them to complete the work together = \(\frac{30}{5}\) = 6 days

The correct answer is Option (2) → 6 days