Raj and Mohan together can complete work in 20 days. Mohan and Sohan together can complete the same work in 12 days. Raj and Sohan together can complete the same work in 15 days. In how many days Raj alone can complete the work?
Raj and Mohan together can complete work in 20 days. Mohan and Sohan together can complete the same work in 12 days. Raj and Sohan together can complete the same work in 15 days. In how many days Raj alone can complete the work?
Option 1 -
45 days
Option 2 -
30 days
Option 3 -
60 days
Option 4 -
20 days
Asked by Shiksha User
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1 Answer
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Correct Option - 3
Detailed Solution:Let total work is 60 (LCM of 20, 12 & 15)
Per day work
(Raj + Mohan) = 3 units
(Mohan + Sohan) = 5 units
(Raj + Shohan) = 4 units
(Raj + Mohan + Sohan) = (3 + 5 + 4)/2 = 6 units
Raj's per day work = 6 – 5 = 1 unit
Total time taken by Raj = 60 days
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