Q. |
Sanjeev, Sanjay, and Sumit can individually complete a piece of work in 36, 48, and 72 days respectively. Sanjay works on all the days. Sanjeev and Sumit join him every third day. In how many days will the work be completed? |
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A. 33 1 / 3 |
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B. 29 1 / 3 |
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C. 31 1 / 3 |
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D. 30 2 / 3 |
Sanjeev, Sanjay, and Sumit can individually complete a piece of work in 36, 48, and 72 days respectively. Sanjay works everyday. Sanjeev and Sumit join him every third day.
Let the total work = 144 units.
Sanjeev in one day does 4 units
Sanjay in one day does 3 units
Sumit in one day does 2 units
First 2 days, Sanjay does = 3 x 2 = 6 units
On third day they together do = 4 +3+2 = 9 units
15 units are completed in 3 days
135 units are completed in 9x3 =27days
9 units of work left
Sanjay does 6 units in the next 2 days
3 units will be done by all in 3/9 = 1/3 days
Total number of days = 27 + 2 + 1/3 = 29 1/3 days.