Multiple choice

Jassi , Pammi and Mani can do a piece of work individually in 8 , 12 and 4 days respectively. Jassi started the piece of work and is assisted by Pammi and Mani on every third day. Then in how many days will the work be completed ?

  1. 4(1/2)

  2. 4(2/3)

  3. 5(1/11)

  4. 5(1/9)

  5. 7(1/9)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the total work be 24 units. The daily work rates for Jassi, Pammi, and Mani are 3, 2, and 6 units respectively. In a 3-day cycle, Jassi works alone for 2 days (6 units) and all three work together on the third day (11 units), totaling 17 units. On days 4 and 5, Jassi adds 6 units, leaving 1 unit which is completed by all three together in 1/11 of day 6, totaling 5(1/11) days.

AI explanation

Using the LCM method, let the total work be 24 units, so the daily capacities of Jassi, Pammi, and Mani are 3, 2, and 6 units respectively. For each three-day cycle, Jassi works alone for the first two days to complete 6 units, and all three work on the third day to complete 11 units, making the total work done per cycle 17 units. After the first cycle, 17 units are complete and 7 units remain, which takes Jassi 2 more days of working alone to finish 6 units. This leaves 1 unit of work for the final day, where all three combine to produce 11 units daily, requiring 1/11 of a day. Adding the 3 days of the first cycle, the 2 days Jassi works alone, and the 1/11 day gives a total completion time of 5(1/11) days.

Keep practicing — related questions