1. A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task along to the number of days taken by B when completing the same task alone?






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  • By: anil on 05 May 2019 01.36 am
    Let the work completed by A in one day = $$frac{1}{A}$$
    Let the work completed by B in one day = $$frac{1}{B}$$
    Let the work completed by C in one day = $$frac{1}{C}$$
    $$frac{1}{A}$$ + $$frac{1}{B}$$ = $$frac{1}{20}$$
    $$frac{1}{B}$$ + $$frac{1}{C}$$ = $$frac{1}{30}$$
    $$frac{1}{A}$$ + $$frac{1}{C}$$ = $$frac{1}{40}$$
    Solving the above equations we get $$frac{1}{A}$$ = $$frac{1}{24}$$ 
                                                                        A = 24
                                                   Similarly B = 120 and C = 60
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