Pinki can craft a designer pot in 900 minutes while Sneha can do the same work in 20 hours. If they work together, the craft work can be completed in:

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  1. more than 9 hours
  2. exactly 8 hours
  3. exactly 9 hours
  4. between 8 hours and 9 hours

Answer (Detailed Solution Below)

Option 4 : between 8 hours and 9 hours
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Detailed Solution

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Given:

Pinki can craft a designer pot in 900 minutes.

Sneha can craft the same pot in 20 hours.

Formula used:

Work rate = 1 / Time taken

Total time when working together = 1 / (Work rate of Pinki + Work rate of Sneha)

Calculation:

900 minutes = 900 ÷ 60 = 15 hours

Work rate of Pinki = 1 ÷ 15

Work rate of Sneha = 1 ÷ 20

Combined work rate = (1 ÷ 15) + (1 ÷ 20)

⇒ Combined work rate = 7 ÷ 60

Total time = 1 ÷ (7 ÷ 60)

⇒ Total time = 60 ÷ 7 ≈ 8.57 hours

∴ The correct answer is option (4) between 8 hours and 9 hours.

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