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A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A can complete the work individually:

Correct Answer: 18 days

Explanation:

                                              A     +      B        =      C     +     D 


                                              |              |                 |             | 


    Ratio of efficiency         10x   +    5x               9x     +   6x 


                                             |________|                 |_________|   


                                                   15x                           15x 


Therefore , ratio of efficiency of A:C  =10:9 


Therefore,  ratio of days taken by A:C = 9:10 


Therefore, number of days taken by A = 18 days                 


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