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A and B can paint the fence of a park in 8 days, B and C can paint the fence in 12 daC and A can paint the fence in 6 days. In how many days will (i) each one of thethe fence, (ii) all of them working together paint the fence? |
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Answer» Answer: A+B one day work=1/8 B+C one day work= 1/12 C+A one day work= 1/6 adding all equation 2(A+B+C) one day work= 1/8+1/12+1/6 = 3+2+4/24 =9/24 A+B+C one day work=9/24*2=9/48 = 3/16 A+B+C complete work in 16/3days A one day work = A+B+C one day work- B+C one day work A one day work = 3/16 -1/12=9-4/48 =5/48 A complete work in 48/5 similarly B one day work =3/16 -1/6=9-8/48 =1/48 B complete work in 48 days similarly C one day work =3/16 -1/8 C one day work =3-2/16=1/16 C complete work in 16 days |
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