Multiple choice

Raja and Aman together can build a wall in 40 days, Aman and Mahesh can build the same wall in 60 days and Raja and Mahesh can build the wall in 48 days. In how many days can all three of them complete the same wall while working together?

  1. 28

  2. 32

  3. 24

  4. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the daily work rates be R, A, M. Then R+A=1/40, A+M=1/60, R+M=1/48. Adding all three gives 2(R+A+M)=1/40+1/60+1/48. Taking LCM=720, we get (18+12+15)/720=45/720=1/16. Therefore R+A+M=1/32, meaning all three together complete the work in 32 days.

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