A does half as much work as B in three- fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?  Choose the most appropriate option:
A) 30 days
B) 35 days
C) 40 days
D) 45 days
E) 50 days
Explanation:   Let ‘x’ be the number of days taken by B alone to finish the whole work   Then, A alone will finish the whole work in 3x/4 × 2 days = 3x/2 days.   Then, working together,   3x/2 × x/3x/2 + x = 18 days   3x × x/5x = 18   3x/5 = 18   Therefore, the number of days taken by B = x = 18 × 5/3 = 30 days.   30 daysnswer: Option 30 days
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A does half as much work as B in three- fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?