If one man or two women or three boys can finish a work in 121 days, then how many days will one man, one woman and one boy together take to finish the same work?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)

Answer 1

Given:

M or 2W or, 3B can finish a work = 121 days

Concept used:

(M1 × T1)/W1 = (M2 × T2)/W2

Where,

M → Men

T → Time

W → Work

Calculations:

M = 2W

⇒ W = M/2

M = 3B

⇒ B = M/3

M + W + B

⇒ M + (M/3) + (M/2)

⇒ 11M/6

(M1 × T1)/W1 = (M2 × T2)/W2

⇒ (1 × 121)/1 = ((11M/6) × T2)/1

⇒ T2 = 66 days

∴ Time taken by one man, one woman and one boys together to finish the work is 66 days