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A can do a work in 12 days and B can do the same work in 16 days. If they work on it together for 4 days. Then the fraction of the work that is left is:
1. 7/8
2. 9/16
3. 3/5
4. 5/12

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Best answer
Correct Answer - Option 4 : 5/12

Given-

Time taken by A to do a work = 12 days

Time taken by B to do the same work = 16 days

Concept Used-

Total Work = Efficiency × Total Time

Calculation- 

Let the total work be 48 units.

Efficiency of A = 48/12

⇒ 4

Efficiency of B = 48/16

⇒ 3

Work done them in 4 days = 4 × (4 + 3)

⇒ 28 units

Left Work = 48 - 28

⇒ 20 units

∴ Fraction of work that is left = 20/48

⇒ 5/12

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