Question 48

If machine A needs 2 hours to finish a work, machine B 3 hours and machine C 6 hours to finish the same work, how long will it take for machines A, B and C to complete the work if they work simultaneously?

Solution

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Time taken by machines A, B and C respectively is 2,3 and 6 hours

=> Time taken by all working together = $$\frac{1}{2}+\frac{1}{3}+\frac{1}{6}$$

= $$\frac{6}{6}=1$$ hour

=> Ans - (C)

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