Question : Sarthak and Mohan have been assigned work to design a room for a ceremony, Sarthak can design the entire room in 12 days, while Mohan can design the room in 15 days. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places)
Option 1: 5.67
Option 2: 6.67
Option 3: 7.33
Option 4: 6.00
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Correct Answer: 6.67
Solution :
Given:
Sarthak can design the entire room in 12 days.
Mohan can design the room in 15 days.
Sarthak's 1 days work = $\frac{1}{12}$
Mohan's 1 days work = $\frac{1}{15}$
Together their work in 1 day = $\frac{1}{12}+\frac{1}{15}=\frac{3}{20}$
So, the work be completed if they work together in $\frac{20}{3}=6.67$ days.
Hence, the correct answer is 6.67.
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