Subject

    Quantitative Aptitude

    Topic

    Number

    From a point on a circular tract 5 km long Arjun, Bhisma and Nakul started running in the same direction at the same time with speeds of 2122\frac{1}{2}km per h, 3 km per h and 2 km per h respectively. Then on the starting point all three will meet again after

    ক)
    30 h
    খ)
    6 h
    গ)
    10 h
    ঘ)
    15 h
    ঙ)
    20 h

    Explanation

    ∵ Total time taken = Total distance/Average speed ∴ Time taken by Arjun to complete one round =5212== \frac{5}{{2\frac{1}{2}}} = 2 hours = 2 × 60 mins = 120 minutes ∴ Time taken by Bhismato complete one round =53hours=53×60= \frac{5}{3}{\rm{hours}} = \frac{5}{3} \times 60 mins = 100 minutes ∴ Time taken by Nakulto complete one round =52hours=52×60  = \frac{5}{2}{\rm{hours}} = \frac{5}{2} \times 60{\rm{\;}} = 150 minutes ∴ Time taken by all three to meet again at the starting point = LCM of 120, 100 and 150 minutes = 600 minutes = 600/60 hours = 10 hours

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