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1. A can do 3 piece of work in 4 hours, B and C together in 3 hours , and A and C together in 2 hours. How long will B alone take to do it?

  • A. 8 hours
  • B. 8 hours
  • C. 8 hours
  • D. 8 hours

Answer: Option B

Explanation:

A,B and C together need = (3×4)/(3 + 4) = 12/7 hours

And C need 2 hours

∴B need = {(12/7)×2}/{2 - (12/7)} hours

                  = (24/7)/{(14 - 12)/7}

                  = 24/2 hours

                  = 12 hours 


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