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A takes 50 percent more time than B to complete a work. If both together complete the work in 18 days, then in how much time will B complete it?
Question

A takes 50 percent more time than B to complete a work. If both together complete the work in 18 days, then in how much time will B complete it?

A.

35 days

B.

30 days

C.

45 days

D.

40 days

Correct option is B

Given:
A takes 50 percent more time than B to complete a work.
If both together complete the work in 18 days,
Solution:
Ratio of time, A : B → 3x : 2x
Work is constant then ratio reverse,
Efficiency → 2x : 3x
B take time = 18×5x3x18 \times \frac{5x}{3x}
​​B take time = 6 × 5
B take time = 30 days.
So, 30 days will B complete it.
Thus, the correct answer is (b).

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