Ram and Lakshman can complete a work in 15 and 20 days, respectively. If Bharat, Ram, and Lakshman all are working together, then they can complete the work in 5 days. How long will Bharat take to finish the work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12 days
Given that
Ram can complete a work = 15 days
Lakshman can complete a work = 20 days
Ram, Bharat, and Lakshman together complete a work = 5 days
Total work = LCM (15, 20) = 60
The efficiency of Ram = 60/15 = 4
The efficiency of Lakshman = 60/20 = 3
The combined efficiency of Ram, Bharat, and Lakshman = 60/5 = 12
The efficiency of Bharat = 12 - (4 + 3) = 12 - 7 = 5
Hence, Bharat can complete this work = 60/5 = 12 days