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10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    Ritu can row 20 km downstream in 2 hours, and 4 km upstream in 2 hours. The pair of equations, which correctly represents the word problem stated as above is:

    A)  u + 2v = 15              u - v = 6

    B)  u + v =16       u - v = 8

    C)  u + v = 10                        u -  v = 2  

    D)  2u + v = 18        u - 2v = 3

    Correct Answer: C

    Solution :

    (c): Let u, v be respectively speed of rowing and speed of river. \[\frac{\text{distance}}{\text{speed}}=\text{time}\Rightarrow \frac{20}{u+v}=2\] \[\Rightarrow u+v=10\] Also, \[\frac{4}{u-v}=2\Rightarrow u-v=2\]


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