Multiple choice

$A$ can do $\displaystyle \frac{1}{5}$th part of the work in $12$ days, $B$ can do $60\%$ of the work in $30$ days and $C$ can do $\displaystyle \frac{1}{3}$rd of the work in $15$ days, Who will complete the work first ?

  1. $A$
  2. $B$
  3. $C$
  4. $A$ and $B$ both
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A completes 1/5 in 12 days, so 1 work in 60 days. B completes 60% (3/5) in 30 days, so 1 work in 50 days. C completes 1/3 in 15 days, so 1 work in 45 days. C is the fastest.

AI explanation

Using the unitary method to find the total time taken by each person to complete the full work, A takes 12 multiplied by 5, which equals 60 days. B completes 60 percent of the work in 30 days, so B takes 30 divided by 0.6, which equals 50 days. C takes 15 multiplied by 3, which equals 45 days. Since C takes the least number of days to finish the work, C will complete it first.