X can finish a job in 131 days. He worked for 47 days alone and the remaining work was completed by Y in 84 days. How many days would both together take to complete the entire job?

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UP Police SI (दरोगा) Official PYP (Held On: 12 Nov 2021 Shift 2)
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  1. 63.5
  2. 65.5
  3. 59.5
  4. 61.5

Answer (Detailed Solution Below)

Option 2 : 65.5
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given:

X finishes job in 131 days.

X worked for 47 days.

Y finished remaining work in 84 days.

Calculation:

X × 131 = X × 47 + Y × 84

⇒ X × 84 = Y × 84

⇒ X : Y = 1 : 1

Both together take to complete the entire job,

⇒ X × 131 = (X + Y) × Days

⇒ 1 × 131 = 2 × Days

⇒ Days = 65.5

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