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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 member 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 3hrs Correct Answer Incorrect Answer
    B 5hrs Correct Answer Incorrect Answer
    C 9hrs Correct Answer Incorrect Answer
    D 7hrs Correct Answer Incorrect Answer
    E None of these 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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