Answer :
Final answer:
Ram will take 18 days to finish the work alone after Bhola leaves.
Explanation:
Ram and Bhola can dig a pond together in 20 days. Ram alone can dig the pond in 30 days. After working together for 8 days, Bhola leaves. To find out how long Ram will take to finish the work alone, we can calculate the portion of the work done in 8 days by both Ram and Bhola and then find out how long Ram alone would take to complete the remaining work.
Let's say the whole work is represented as 1. In 1 day, Ram and Bhola together can do 1/20 of the work, and Ram alone can do 1/30 of the work. In 8 days, the portion of work done by Ram and Bhola is 8*(1/20) = 2/5 of the work. The remaining work for Ram alone would be 1 - 2/5 = 3/5 of the work. Ram can complete this 3/5 of the work alone in (3/5)/(1/30) = 18 days.
Therefore, Ram will take 18 days to finish the work alone.
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