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SSC Quantitative Aptitude Speed, Time and Distance Question Bank Speed Time and Distance (I)

  • question_answer
    A man travelled a distance of 61 km in 9 h partly on foot at the rate of 4 km/h and partly on bicycle at the rate of 9 km/h. The distance travelled on foot was

    A) 12 km

    B) 16 km

    C) 20 km

    D) 24 km

    Correct Answer: B

    Solution :

    [b] Let distance travelled by man on foot = x km \[\therefore \] Distance travelled by man by bicycle \[=(61-x)\,km\] \[\Rightarrow \]            \[9=\frac{x}{4}+\frac{61-x}{9}\] \[\Rightarrow \]            \[9=\frac{9x+244-4x}{36}\] \[\Rightarrow \]            \[324=5x+244\] \[\Rightarrow \]            \[x=16\]


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