A works 5.4 times as fast as B, and A takes 22 days less than B to complete the job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)

Answer 1

Given:

A works 5.4 times as fast as B, and A takes 22 days less than B to complete the job when each works alone.

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day

Calculation:

Time ratio of A : B = 1 : 5.4

Time ratio of A : B = 5 : 27

So A takes 5x days B takes 27x days

As per the question,

27x - 5x = 22

⇒ x = 1

So A takes 5 days and B takes 27 days

So they together take,

⇒ (27 × 5) / 32 = \(4\frac{7}{32}\)days

∴ The correct option is 3