A is thrice as good a workman as B. A started the work and they worked together on alternate days and finished the work in 24 days. The number of days taken by A alone to finish the work was:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 16.
Efficiency of A = 3 × efficiency of B
Efficiency of A/Efficiency of B = 3/1
The efficiency of A and B together = 1 + 3 = 4 units
They work on alternated days.
So, their two days work = 4 unit
2 days = 4 unit
⇒ 24 days = 48 unit = Total work
So, A can alone finish the work = total work/efficiency of A
= 48/3
= 16 days