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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?
Question

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?

A.

5.25

B.

6.25

C.

22

D.

21

Correct option is D

Given:

Varun and Ashish together can paint 1 hall in 3 days.

Varun alone can paint 1 hall in 7 days.

The task is to determine how many days Ashish alone can paint 4 such halls.

Formula Used:

Time = Total workRate of work \frac{\text{Total work}}{\text{Rate of work}}​​

Solution:

Total work = LCM of 3 and 7 = 21 units

Combined rate = 213=7 \frac{21}{3 } = 7 ​​

Varun’s rate = 217\frac{21 }{7}​ = 3 

Ashish alone = 7- 3 = 4 

Work for 4 halls = 4 × 21 units = 84 units

Time required = 844 \frac{84}{4}​ = 21 days

Ashish alone can paint 4 halls in 21 days.

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