to 8 wome SOLUTIO 1 mar .: 9 mc :9n + .: 24 . = EX B ti EXAMPLE 12: A and B can do a piece of work of the in 10 days, A and C can do in 12 days, B and c 2 together can do in 15 days. (i) How long will each take to do it separately? (ii) How will they share 3000? 4 days. 1 5 SOLUTION: (i) In 1 day A and B can do work 10 O hours 1 he tank In 1 day A and C can do work 12 lone to 1 In 1 day B and C can do work. 15 can fill 1 1 1 In 1 day 2(A + B + C) can do + 10 12 15 6 +5+4 15 1 60 60 4 e tank 1 1 1 .. In 1 day (A+B+C) can do = x x = = = work. 4 2 8 (A +B+C)'s work - (B+C)'s work= A's work 1 1 15 – 8 7 work 8 15 15 120 120 days 120 1 er for .. A takes = 17 = days. days 7 7 will (A +B+C)'s work – (A + C)'s work = B's work. 1 1 3-2 1 1 work 8 12 24 24 20 : B takes 24 days. K. 1 1 (A + B + C)'s work - (A + B)'s work ork 8 10 5 - 4 1 work. 40 40 .: C takes 40 days to complete the work. (ii) Their share is according to the work done 7 1 1 - = 120 24 40 7 x 120 120 X 120 24 : x 120 40 "S. =
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