MathematicsA boat covers 16 km upstream and 24 km downstream in 6 hours while it covers 12 km upstream and 36 km downstream in the same time. What is the speed of the boat upstream and downstream?

A boat covers 16 km upstream and 24 km downstream in 6 hours while it covers 12 km upstream and 36 km downstream in the same time. What is the speed of the boat upstream and downstream?

  1. A
    Speed of the boat upstream and speed of the boat downstream
  2. B
    Speed of the boat upstream and speed of the boat downstream
  3. C
    Speed of the boat upstream and speed of the boat downstream
  4. D
    Speed of the boat upstream and speed of the boat downstream  

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    Solution:

    Concept- It is called upstream if the boat is moving in the opposite direction of the stream. The net speed of the boat is referred to as the upstream speed in this case. It is called downstream if the boat is moving in the direction of the stream. The net speed of the boat in this case is referred to as downstream speed.
    Let speed of the boat in still water , and
    Speed of the current Downstream speed Upstream speed When putting and , the above equation becomes,
    Or, …….(3)
    Or, ……..(4)
    When multiplying (4) by 4, we get,
    ………(5)
    When Subtracting (3) from (5), we get
    Putting the value of in (4), we get, Thus, speed of the boat upstream Speed of the boat downstream Hence, the correct answer is option is 3) speed of the boat upstream and speed of the boat downstream .
     
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