Question

Ram and Sham can complete the work in 4.5 days. Ram is thrice efficient as Sham. In how many days Sham can complete the work?
1. 10 days
2. 20 days
3. 18 days
4. 12 days
5. 9 days

Answer 1

Correct Answer - Option 3 : 18 days

Given:

Let Ram's and Sham's 1 day's work be 1/a and 1/b respectively.

⇒ 1/a + 1/b = 1/4.5

⇒ 1/a + 1/b = 10/45 = 2/9

Then,

⇒ b = 3a

Solving,

a = 6 and b = 18

∴ Sham will complete work in 18 days.