Question

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?

1. 23 days
2. 24 days
3. 24 days and 12 hours
4. 23 days and 12 hours
5. 23 days and 14 hours

Answer 1

Correct Answer - Option 2 : 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.