In a company, a piece of work can be completed in 4, 6 and 18 days alone by R, S and T, respectively. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places)

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 4)

Answer 1

Given:

In a company, a piece of work can be completed in 4, 6 and 18 days alone by R, S and T, respectively.

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day

Calculation:

Let total work is 36 units ( Lcm of 4 . 6 and18 )

The efficiency of R is

⇒ 36 / 4 = 9 unit

Again, the Efficiency of S is,

⇒ 36 / 6 = 6 unit

Again, the Efficiency of T is,

⇒ 36 / 18 = 2 unit

Total Efficiency,

⇒ 9 + 6 + 2 = 17 unit

The number of days required, 36/17 = 2.12 days

∴ The correct option is 2

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