Multiple choice

Rahul takes 4 days to finish one-third of a job, Sohan takes 3 days to finish one-sixth of the same work and Ram takes 5 days to finish half the job. All 3 of them together work for 3 days after which Rahul and Ram leave the job. How long will it take for Sohan to complete the remaining work?

  1. 6 days

  2. 8.1 days

  3. 5.1 days

  4. 7 days

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Using the work rate method, Rahul's rate is 1/12 of the job per day, Sohan's rate is 1/18, and Ram's rate is 1/10. Their combined daily rate is 1/12 plus 1/18 plus 1/10, which equals 43/180. Working together for 3 days, they complete 3 times 43/180, which equals 43/60 of the job, leaving 17/60 unfinished. Sohan completes the remaining 17/60 alone at his rate of 1/18 per day, requiring (17/60) divided by (1/18) days. The result is 5.1 days.