Verified answer

ANSWER - 8days

Given:

A, B and C can complete a piece of work in 12, 24 and 36 days respectively.

Concept used:

LCM method

CALCULATION:

ACCORDING TO THE QUESTION :

(A + B) per day efficiency

(A + B) per day efficiency ⇒ 6 + 3 = 9

(A + B) per day efficiency ⇒ 6 + 3 = 9A and B will together complete the same work in

(A + B) per day efficiency ⇒ 6 + 3 = 9A and B will together complete the same work in ⇒ Total work/per day efficiency

(A + B) per day efficiency ⇒ 6 + 3 = 9A and B will together complete the same work in ⇒ Total work/per day efficiency⇒ 72/9

(A + B) per day efficiency ⇒ 6 + 3 = 9A and B will together complete the same work in ⇒ Total work/per day efficiency⇒ 72/9⇒ 8 days

∴ A and B will together complete the same work in 8 days.