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Thread: How fast did the courier bike?

  1. #1
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    Sep 2006
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    How fast did the courier bike?

    Hi,

    A military column of 1 km length marches with a constant speed of 6 kilometers per hour. A courier from the back of the column is sent to the head of the column by bike to deliver a message. Arrived at the front, he
    instantly returns. When he returns again at the back, the column has travelled a distance of 1 km since the start of his errand. The courier drove with constant speed.

    How fast did the courier bike?


    Thanks

    Gokulakrishnan K


  2. #2
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    Jun 2007
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    Re: How fast did the courier bike?

    hi,

    i think it is 4km/hour

    thanks
    Sushma


  3. #3
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    Sep 2006
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    Re: How fast did the courier bike?

    How Sushma?


    Thanks

    G K


  4. #4
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    Nov 2008
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    Re: How fast did the courier bike?

    If i understood the question correctly..

    Then the answer is 12Km/hr

    thanks
    raj


  5. #5
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    Re: How fast did the courier bike?

    Is 12 Km/Hr right answer??..I am getting 12km/hr


  6. #6
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    Nov 2008
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    Smile Re: How fast did the courier bike?

    Answer: 12 kmph

    Explanation: Column speed = 6 kmph (given)
    Distance travelled by Column = 1 km. (given)
    Let the time taken by Column to travel 1 km be ' T ' hr.
    speed = distance / time ( Basic formulae )
    6 = 1/T
    T = 1/6 hr ( i.e 0.1666667 hr ) ---> Equation 1

    It is given that during this ' T ' hr, courier travelled from back of column to front & from front to back of column. Since the Column is 1 km long, so the distance travelled by courier is 2 km.

    Finally applying basic formulae of speed to courier i.e.
    speed = distance travelled/ Time taken
    = 2 km / 0.166666667 hr ( From equation 1 )
    = 2 / 1/6
    = 12 kmph --> Q.E.D

    kraots & amitpatel66 you guys are right !!..


    Cheers,
    Anup | Mahindrakar


  7. #7
    Junior Member
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    May 2009
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    4

    Re: How fast did the courier bike?

    the speed of courier bike is 0.2777 km/hr


  8. #8
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    204

    Re: How fast did the courier bike?

    its 18 Km/hr


  9. #9
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    Mar 2010
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    5

    Re: How fast did the courier bike?

    18 km/hr. Below is the solution-

    1 km 0.5km 0.5km
    0-------------------A--------X----------B
    <=military column===>

    OA represents the initial military column line. Let the courier bike meet the head at point X as shown in the above figure. Let B be the end point where the head ends exactly when the bike reaches back 0. For this reason, AX = XB = 0.5 each

    Time taken by bike to travel the distance OX = Time taken by head to travel XB
    Applying the formula, time = distance / speed on either sides of the above equation,

    1.5 / bike_speed = 0.5 / 6
    => bike_speed = 18 km/hr


  10. #10
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    Sep 2011
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    1

    Re: How fast did the courier bike?

    The answer is 14.4 km/hr.The total distance covered by column is 1 km.Time taken is 1/6 hr.Now the biker rides with speed x km/hr.Total time taken by him is 1/x-6 hr + 1/x+6 hr=1/6 hr.Solving equn u get 14.4 km/hr.Remember relative speed??


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