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A. B and C can complete a work in 10, 15 and 25 days, respectively. The time taken by A. B and C together to do the work is:
Question

A. B and C can complete a work in 10, 15 and 25 days, respectively. The time taken by A. B and C together to do the work is:

A.

31631\frac{16}{31}​​

B.

42631\frac{26}{31}​​

C.

31131\frac{11}{31}​​

D.

42731\frac{27}{31}​​

Correct option is B

Let the total work be LCM of 10, 15 and 25 = 150 unit

Efficiency of A  = 15010=15\frac{150}{10}= 15  unit per day​

Efficiency of B  = 15015=10\frac{150}{15}=10 unit per day​

Efficiency of C  = 15025=6\frac{150}{25}=6  unit per day

Total time taken by all of them = 15015+10+6=15031\frac{150}{15+10+6} = \frac{150}{31}= 42631\frac{26}{31} days 

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