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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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