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Q 2415234160.     Manoj is thrice as efficient as Shivam and Shivam can do a piece of work in 15 days. Shivam started the work and after few days Manoj joined him. They completed the work in 12 days from the starting. For how many days they worked together?
IBPS-CLERK 2017 Mains
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)