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ICSE Class 8 Answered

A can complete a piece of work in 24 days B in 30 days and C in 18 days.After working together for 5 days B fall sick .How long will A and C take to complete the work ?
Asked by ankitan576 | 07 Mar, 2019, 12:25: AM
answered-by-expert Expert Answer
fraction of work completed by A, B and C in one day = begin mathsize 12px style 1 over 24 plus 1 over 30 plus 1 over 18 equals space 47 over 360 end style
fraction of work completed by A, B and C in 5 day = (47/360)×5 = ( 47/72 )
 
fraction of remaining work = 1 -(47/72) = 25/72
 
fraction of work can be completed by A, and C in one day = begin mathsize 12px style 1 over 24 plus 1 over 18 space equals space 7 over 72 end style
No. of days for A and C to complete the remaining work = begin mathsize 12px style 25 over 72 cross times 72 over 7 space almost equal to space 3.5 space d a y s end style
Answered by Thiyagarajan K | 07 Mar, 2019, 01:17: AM

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