A takes twice as much time as B and thrice as much time as C to finalise a task. Working together, they can complete the task in 8 days. The time (in days) taken by A, B and C, respectively, to complete the task is :

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)

Answer 1

Given:

A takes twice as much time as B and thrice as much time as C to finalise a task.

Working together, they can complete the task in 8 days.

Concept used:

If three workers can complete a task in P, Q, and R days respectively, then working together they can complete the work in = days

Calculation:

Let's suppose, A, B, and C take 6q, 3q, and 2q days respectively.

According to the concept,

= 8

⇒ = 8

⇒ q = 8

So, A finalises the work in = 6 × 8 = 48 days

So, B finalises the work in = 3 × 8 = 24 days

So, C finalises the work in = 2 × 8 = 16 days

∴ The time taken by A, B, and C, respectively, to complete the task is 48 days, 24 days, and 16 days.