Multiple choice

$15$ persons complete a work in $4$ days by working $6$ hours a day. How many days it will take to complete the work if $5$ persons work same hours per day?

  1. $20$
  2. $30$
  3. $12$
  4. $18$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the work formula M1*D1*H1 = M2*D2*H2, we have 15*4*6 = 5*D2*6. Solving for D2 gives 15*4 / 5 = 12 days.

AI explanation

Using the work equivalence formula, 15 persons times 4 days equals 5 persons times the required days. This gives 60 person-days equals 5 times the unknown days, so dividing 60 by 5 yields 12 days.