Question : Ram can complete a task in 15 days, Rohan in 25 days, and Rohit in 30 days. Rohan and Rohit worked together for 2 days and then, Rohit was replaced by Ram. In how many days altogether was the work completed?
Option 1: 10 days
Option 2: 8 days
Option 3: 12 days
Option 4: 7 days
Correct Answer: 10 days
Solution :
Given:
Ram can complete a task in 15 days, Rohan in 25 days, and Rohit in 30 days.
Work done by Ram in 1 day
Work done by Rohan in 1 day
Work done by Rohit in 1 day
Rohan and Rohit worked together for 2 days.
Work done by (Rohan + Rohit) in 1 day
Work done by them in 2 days
Work left =
Then, Rohit was replaced by Ram.
Work done by (Rohan + Ram) in 1 day
So, the remaining work will take
So, the total work will take (8 + 2) = 10 days
Hence, the correct answer is 10 days.
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