3 पुरुष या 5 महिलाएँ एक कार्य को 12 दिनों में कर सकती हैं। 6 पुरुष और 5 महिलाएँ उस कार्य को पूरा करने में कितना समय लेंगे।

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ITBP Constable (Animal Transport) 16 Feb 2020 Official Paper
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  1. 4 दिन
  2. 10 दिन
  3. 15 दिन
  4. 20 दिन

Answer (Detailed Solution Below)

Option 1 : 4 दिन
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दिया गया है:

3 पुरुष या 5 महिलाएँ एक कार्य को 12 दिनों में पूरा कर सकते हैं।

प्रयुक्त सूत्र:

M1D1T1W2 = M2D2T2W1 [जहाँ, M1 और M2 = पुरुषों की संख्या, D1 और D2 = दिन, T1 और T2 = समय, W1 और W2 = किए गए कार्य की मात्रा]

गणनाएँ:

3 पुरुष = 5 महिलाएँ, अर्थात्, 1 पुरुष = \(\dfrac{5}{3}\) महिलाएँ

6 पुरुष = \(\dfrac{5}{3}\) × 6 = 10 महिलाएँ

6 पुरुष + 5 महिलाएँ = (10 + 5) = 15 महिलाएँ।

अब, M1 = 5, M2 = 15, W1 = W2 = 1, D1 = 12

M1D1T1W2 = M2D2T2W1

5 × 12 × 1 = 15 × D2 × 1

D2 = \(\dfrac{5 × 12}{15}\) = 4 दिन।

∴ उत्तर 4 दिन है।

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