A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days. In how many days A alone can finish the work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. .
Given:
A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days
Calculations:
Total work (L.C.M of 10, 12, and 6) = 60 units
The efficiency of A and B = 60/10 = 6
The efficiency of B and C = 60/12 = 5
The efficiency of C and A = 60/6 = 10
Efficiency of (A + B + C) ⇒ 2(A + B + C) = (6 + 5 + 10)
⇒ 2(A + B + C) = 21
⇒ (A + B + C) = 21/2
The efficiency of A = 21/2 - 5 = (21 - 10)/2 = 11/2
Time taken by A = 60/(11/2) = 120/11