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Q.

If A, B, C can do a work in 90, 30 and 45 days respectively. If they work together, the time taken to complete the work is

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a

15 days

b

25 days

c

10 days

d

20 days

answer is A.

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Detailed Solution

$A = 90 \Rightarrow 1 day work = \frac{1}{90}$

$B = 30 \Rightarrow 1 day work = \frac{1}{30}$

$C = 45 \Rightarrow 1 day work = \frac{1}{45}$

$A + B + C = \frac{1}{90} + \frac{1}{30} + \frac{1}{45} = \frac{2 + 6 + 4}{180} = \frac{12}{180} = \frac{1}{15}$

A,B,C can finish in 15 days.

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If A, B, C can do a work in 90, 30 and 45 days respectively. If they work together, the time taken to complete the work is