Question:medium

Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days,respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is

Updated On: Jan 15, 2026
  • 8
  • 6
  • 5
  • 7
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The Correct Option is D

Solution and Explanation

The total work required is 60 units. Anu, Vinu, and Manu complete 4, 5, and 3 units per day, respectively.

On day one, Anu and Vinu work together, completing 9 units. On day two, Manu and Vinu collaborate, completing 8 units. This alternating pattern of (Anu, Vinu) and (Manu, Vinu) pairs continues.

Step 1: Work Completed in the First Six Days

The work distribution over the first six days is as follows: - Day 1: Anu and Vinu complete \(9\) units. - Day 2: Manu and Vinu complete \(8\) units. - Day 3: Anu and Vinu complete \(9\) units. - Day 4: Manu and Vinu complete \(8\) units. - Day 5: Anu and Vinu complete \(9\) units. - Day 6: Manu and Vinu complete \(8\) units. The cumulative work for the initial six days amounts to: \[ 9 + 8 + 9 + 8 + 9 + 8 = 51 \text{ units}. \]

Step 2: Work Completed on the Seventh Day

On the seventh day, Anu and Vinu resume their collaboration and finish the remaining 9 units of work. Consequently, the entire task is concluded within 7 days.

Final Answer:

The task is fully completed in \( \boxed{7} \) days.

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
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