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A can do a work in 20 days and B in 30 days. If they work on it together for 2 days, then what is the fraction of the work that is left?

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SSC CPO 2024 Official Paper-I (Held On: 27 Jun, 2024 Shift 1)
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SSC CPO : English Comprehension Sectional Test 1
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<p><strong>Given:</strong></p><p>A can do a work in 20 days.</p><p>B can do a work in 30 days.</p><p>They work together for 2 days.</p><p><strong>Concept Used:</strong></p><p>When two or more individuals work together, their combined work rate is the sum of their individual work rates.</p><p><strong>Formula Used:</strong></p><p>Work rate of A = 1/20 work/day</p><p>Work rate of B = 1/30 work/day</p><p>Combined work rate = (1/20 + 1/30) work/day</p><p>Fraction of work done = Combined work rate × Number of days they work together</p><p>Fraction of work left = 1 - Fraction of work done</p><p><strong>Calculation:</strong></p><p>Combined work rate = 1/20 + 1/30</p><p>⇒ Combined work rate = 3/60 + 2/60</p><p>⇒ Combined work rate = 5/60 = 1/12 work/day</p><p>Fraction of work done in 2 days = (1/12) × 2</p><p>⇒ Fraction of work done = 1/6</p><p>Fraction of work left = 1 - 1/6</p><p>⇒ Fraction of work left = 6/6 - 1/6</p><p>⇒ Fraction of work left = 5/6</p><p><strong>∴ The fraction of the work that is left is 5/6.</strong></p> - www.lessoinsdecolette.com
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Latest SSC CPO Updates

Last updated on Jun 17, 2025

-> The SSC has now postponed the SSC CPO Recruitment 2025 on 16th June 2025. As per the notice, the detailed notification will be released in due course.  

-> The Application Dates will be rescheduled in the notification. 

-> The selection process for SSC CPO includes a Tier 1, Physical Standard Test (PST)/ Physical Endurance Test (PET), Tier 2, and Medical Test.

-> The salary of the candidates who will get successful selection for the CPO post will be from ₹35,400 to ₹112,400.     

-> Prepare well for the exam by solving SSC CPO Previous Year Papers. Also, attempt the SSC CPO Mock Tests. 

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