InterviewSolution
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InterviewSolution
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29. A takes 6 days less than B to do a work If both A and B working together can do it in 4 days, how madays will B take to finish it ?From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower asame straight line with its base, with angles of depression 30° and 45. Find the distance betwee |
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Answer» Let B takes x days to do work.Then A takes x-6 days to do work Now,A's one day work = 1/(x - 6)B's one day work = 1/x (A + B)'s one day work = 1/4 B's one day work1/4 - 1/x-6 = 1/x1/4 = 1/x +1/x-6x(x-6) = 4(2x - 6)x^2 - 6x = 8x - 24x^2 - 14x + 24x = 0x^2 - 12x - 2x + 24 = 0x(x - 12) - 2(x - 12) = 0(x - 2)(x - 12) = 0 2 value not possible Therefore for x = 12, B alone will complete work in 12 days |
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