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Three girls Anita, Bansuri, and Cara can complete their stitch work in 6 days. If the efficiency of Anita, Bansuri, and Cara are in ratio 4 : 5 : 7, then find in how many days can Anita alone do the stitch work?

Three girls Anita, Bansuri, and Cara can complete their stitch work in 6 days. If the efficiency of Anita, Bansuri, and Cara are in ratio 4 : 5 : 7, then find in how many days can Anita alone do the stitch work? Correct Answer 24 days

Given:

Anita, Bansuri, and Cara can complete their stitch work in = 6 days

Efficiency ratio of Anita, Bansuri, and Cara = 4 : 5 : 7

Calculation:

Let work done by Anita, Bansuri, and Cara be 4x, 5x and 7x in 1 day.

∴ total work done = 4x + 5x + 7x = 16x in 1 day.

∴ The total work = 16x × 6 = 96x

⇒ Anita can complete 4x units of work daily, so she will need 24 days to complete the whole work working alone.

∴ Anita will take 24 days to complete the stitch work.

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