2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Pair of Linear Equations in Two Variables

10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

  • question_answer
    A motor boat takes 2 hours to travel a distance 9 km down the current and it takes 6 hours to travel the same distance against the current The speed of the boat in still water and that of the current (in km/hour) respectively are:

    A) \[3,1.5\]

    B) \[3,2\]

    C) \[\text{3}.\text{5},\text{2}.\text{5}\]

    D) \[3,1\]

    Correct Answer: A

    Solution :

    [a] Downrate \[=\frac{9}{2}=4.5\,km/hr\]
    Uprate \[=\frac{9}{6}=1.5\,km/hr\]
    Speed of the boat \[=\frac{(4.5+1.5)}{2}=3\,km/hr\]
    Speed of the current
    \[=\frac{(4.5+1.5)}{2}=1.5\,km/hr\]


You need to login to perform this action.
You will be redirected in 3 sec spinner