Multiple choice

Ramu can complete a job in 8 days, Shyamu can complete the same job in 12 days. However , Monu takes 12 days to complete $\displaystyle \frac{3}{4}$th of the same job. Ramu works for 2 days and then leaves the job,. The number of days that will be taken by Shaymu and Monu to balance together is

  1. 4.2

  2. 5.1

  3. 6.2

  4. 6.5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ramu: 8 days (rate 1/8). Shyamu: 12 days (rate 1/12). Monu: 3/4 job in 12 days, so full job in 16 days (rate 1/16). Ramu works 2 days: 2/8 = 1/4 done. Remaining = 3/4. Shyamu and Monu rate = 1/12 + 1/16 = (4+3)/48 = 7/48. Time = (3/4) / (7/48) = (3/4) * (48/7) = 36/7 = 5.14.

AI explanation

Ramu's rate is 1/8 of the job per day and Shyamu's rate is 1/12 per day. Since Monu takes 12 days to complete 3/4 of the job, his rate is 3/4 divided by 12, which is 1/16 per day. Ramu works for 2 days to complete 2/8 (or 1/4) of the job, leaving 3/4 of the job remaining. The combined rate of Shyamu and Monu is 1/12 plus 1/16, which equals 7/48 per day. Dividing the remaining 3/4 of the job by their combined rate of 7/48 gives (3/4) divided by (7/48), resulting in 36/7 days, which is approximately 5.1 days.

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