Ram can copy 60 pages in 15 hours. If Ram and Riya together can copy 180 pages in 30 hours, then in how many hours can Riya copy 20 pages?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)
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  1. 29 hours
  2. 12 hours
  3. 20 hours
  4. 10 hours

Answer (Detailed Solution Below)

Option 4 : 10 hours
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Detailed Solution

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Given:

Ram can copy 60 pages in 15 hours.

Ram and Riya together can copy 180 pages in 30 hours

Formula Used:

Efficiency = Work done/Time Taken

Calculation:

By using the above formula

The efficiency of Ram is = 60/15= 4pages/hr

The efficiency of Ram and Riya = 180/30 = 6 pages/hr

The efficiency of Riya = 6 - 4 = 2 pages/hr

The time taken by Riya to copy 20 pages will be

⇒ 20/2= 10 hr

 The Time taken by Riya is 10 hours.

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