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Trish and Stacy can complete a work in 20 days and 30 days, respectively, when working alone. In an arrangement, Trish works for 2 days, and then Stacy works for a day. They keep on repeating this process till the work gets completed. On which day will the work gets completed?​

  • a)
    21st

  • b)
    23nd

  • c)
    22rd

  • d)
    24th

Correct answer is option 'C'. Can you explain this answer?
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Trish and Stacy can complete a work in 20 days and 30 days, respective...






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Trish and Stacy can complete a work in 20 days and 30 days, respective...
Calculation:
Trish's work rate = 1/20 per day
Stacy's work rate = 1/30 per day

Working together:
Combined work rate = 1/20 + 1/30 = 1/12 per day

Explanation:
- In 3 days, Trish completes 3/20 of the work.
- In the next day, Stacy completes 1/30 of the work.
- So, in 4 days, they complete (3/20 + 1/30) = 1/12 of the work.
This means they complete 1/12 of the work every 4 days.

Work Completion:
- On the 4th day, they complete 1/12 of the work.
- On the 8th day, they complete 2/12 of the work.
- On the 12th day, they complete 3/12 of the work.
- On the 16th day, they complete 4/12 of the work.
- On the 20th day, they complete 5/12 of the work.
- On the 24th day, they complete 6/12 = 1/2 (or 50%) of the work.
- Therefore, the work gets completed on the 24th day.
Therefore, the correct answer is option 'd) 24th'.
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Trish and Stacy can complete a work in 20 days and 30 days, respectively, when working alone. In an arrangement, Trish works for 2 days, and then Stacy works for a day. They keep on repeating this process till the work gets completed. On which day will the work gets completed?a)21stb)23ndc)22rdd)24thCorrect answer is option 'C'. Can you explain this answer?
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