Question

Aman and Raman together can complete a work in 18 days. Aman alone can do the same work in 24 days. What will be the number of days in which Raman alone can complete the whole work?

1. 62
2. 72
3. 82
4. 92
5. 94

Answer 1

Correct Answer - Option 2 : 72

Given:

Aman and Raman can complete the work in 18 days

Aman alone can complete the work in 24 days

Concept used:

Total work = Efficiency × Time period

Calculation:

Taking the L.C.M of 18 & 24

L.C.M of 18 & 24 is 72

⇒ One day work of Aman and Raman = 72/18 = 4

⇒ One day work of Aman = 72/24 = 3

⇒ One day work of Raman = 4 – 3 = 1

⇒ Number of days Raman alone takes to complete the work = 72/1 = 72

∴ The number of days Raman takes to complete the whole work is 72.