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7th Class Mathematics Simple Equations Question Bank Linear Equation in one Variable

  • question_answer
    A person travelled\[\frac{{{5}^{th}}}{8}\] of the distance by train, \[\frac{{{1}^{th}}}{4}\] by bus and the remaining 15 km by boat. Find the total distance travelled by him.                                  

    A)  90 km                         

    B)  120 km

    C)  150 km            

    D)  180 km

    Correct Answer: B

    Solution :

    (b) Let the total distance be x km. \[\therefore \,\,x-\left( \frac{5x}{8}+\frac{x}{4} \right)=15\](Given) \[\Rightarrow \,\,x-\frac{7x}{8}=15\Rightarrow x=120\] Cross - check as in Ans. to Q. 17             \[x-\left( \frac{5x}{8}+\frac{x}{4}+15 \right)\] \[\Rightarrow \,x=\frac{5x}{8}+\frac{x}{4}+15\]


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