Varun and Ashish together can paint a hall in 3 days. Varun alone can paint it in 7 days. In how many days can Ashish alone paint 4 such halls?

5.25

6.25

APEDIA

NTPC Graduate Tier 1

2025 • 06 May, 2025 • Shift-1

Varun and Ashish together can paint a hall in 3 days. Varun alone can paint it in 7 days. In how many days can Ashish alone paint 4 such halls?

Correct Answer

Work Rates: The combined work rate of Varun and Ashish is 1/3 of the hall per day. Varun's individual work rate is 1/7 of the hall per day.Individual Extraction......

💡 Analysis & Explanation

Work Rates ▼

The combined work rate of Varun and Ashish is 1/3 of the hall per day. Varun's individual work rate is 1/7 of the hall per day.

Individual Extraction ▼

Ashish's specific daily work rate is determined by subtracting Varun's rate from their combined rate: (1/3) - (1/7) = (7-3)/21 = 4/21.

Time for One Unit ▼

Since Ashish completes 4/21 of a hall in one day, he requires 21/4 (or 5.25) days to paint a single hall entirely on his own.

Scaling the Task ▼

To paint 4 identical halls, the time taken will be 4 × (21/4) days.

Conclusion ▼

It will take Ashish exactly 21 days to complete the task.

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Varun and Ashish together can paint a hall in 3 days. Varun alone can paint it in 7 days. In how many days can Ashish alone paint 4 such halls?