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 | Re: progression |
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to complete a work A takes 4 days more than A and b working together also A takes 5 days more than A and C working together the ratio of B and C is 2:3,then how many days A will take to complete the work????? my approach to this problem as follows W/A+B + 4 = W/A w/A+C + 5 = w/A now substituting the values of b and c as 2and 3 respectively we will get 2 equations 4A^2+8a= 2w 5A^2+15a=3w on solving these we get 2A^2-6A=0 A=3 now for A is 3 we already have the ratio of work of a and b as 2:3 for easier calculation let w=30 now A can do the work in 10 days it satisfies the condition A takes 4 days more than A and B together and 5 days more than A and c together is this approach and the answer is right? please kindly respond to this |
