ArithmeticA boat running upstream takes 6 hours 40 minutes to cover a certain distance while it takes 4 hours to cover the same distance running downstream, what is the ratio between the speed of boat and the speed of water current respectively?  

A boat running upstream takes 6 hours 40 minutes to cover a certain distance while it takes 4 hours to cover the same distance running downstream, what is the ratio between the speed of boat and the speed of water current respectively?  

  1. A

    4:1

  2. B

    5:6 

  3. C

    3:1

  4. D

    2:5

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    Solution:

    Solution: Speed of  the boat in still water = x

    Speed of  current = y

    So,

    (6+4060)  (xy)=4(x+y)

    (36+46)  (xy)=4(x+y)

    406(xy)=4(x+y)

    10x10y=6x+6y

    4x=16y

    xy=41,    x:y  = 4 : 1

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