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      Question

      A team leader can do a job as fast as three members of

      the team working together. If one of the members can do the job in 5 hrs, the second one takes 10 hrs while the third one takes 25 hours for the same, how much time approximately is taken by the leader alone to complete the work?
      A 3 hrs Correct Answer Incorrect Answer
      B 5 hrs Correct Answer Incorrect Answer
      C 9 hrs Correct Answer Incorrect Answer
      D 7 hrs Correct Answer Incorrect Answer

      Solution

      Work done by all the three members in 1 hour = 1/5 + 1/10 + 1/25 = (10+5+2)/50 = 17/50 part of the work ∴ Time taken by them to complete the work = 50/17 hrs ∴ Time taken by the leader = 50/17 hrs = 3 hrs (approx.)

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