science
Grade-11
Easy

Question

If a boat moves on the river with the speed of 50 km/h and also moves in other directions relatively with a speed of 30 km/h. What is the speed of the boat?

  1. 20
  2. 15
  3. 30
  4. 40

hintHint:

40 m/s

The correct answer is: 40


    Given:
    The relative velocity of the boat as it travels downstream V= 50kmh-1
    The relative velocity of the boat as it travels upstream V2 = 30kmh-1 
    To find:
    The actual speed of the boat =?
    Solution:
    Case 1: when a boat flows downstream 
    V1 Vboat + Vriver

    50 = Vboat + Vriver                     -1
    Case 2: when a boat flows upstream 
    V2 = Vboat - Vriver 
    30 = Vboat - Vriver                            -2

    From equation 1 and 2 
    2Vboat = 80 ms-1
    Vboat = 40ms-1

    Answer:
    The actual velocity of the boat is 40ms-1

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