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  • Time & Work Concept:
    Case 1. A does a work in X days, B does a Work in Y days In how many days they will complete the work.
    Question- A completes the work in 10 days and B completes the work in 15 days In how many days they will complete the work.
    Sol:Conventional Method:
    Work done by A in 1 day = 1/10
    Work Done by B in 1 day = 1/15
    Work done By A & B together in 1 day = 1/10 + 1/15 = (3+2)/30 = 5/30 = 1/6
    As A & B Completes 1/6 work in one day So they will complete the whole work in 6 Days.
    Efficiency method.
    Efficiency of A =100/10 = 10% 
    Efficiency of B = 100/15 = 6.66%
    Efficiency of A & B Together = 10+ 6.66 = 16.66%
    So the time taken by A & B together to Complete the work will be 100/16.66 = 6 Days.
     
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