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SSC Sample Paper SSC CGL - Sample Paper-26

  • question_answer
    A man can walk uphill at the rate of 2.5 km/h and downhill at the rate of 3.25 km/h. If the total time required to walk a certain distance up the hill and return to the starting position is 4 h 36 min, what is the distance he walked up the hill?

    A) 3.5 km             

    B) 4.5 km

    C) 5.5 km             

    D) 6.5 km

    Correct Answer: D

    Solution :

    Let he walked up the hill at a distance of x km. By given condition,             \[\frac{x}{25}+\frac{x}{3.25}=4\frac{36}{60}\] \[\Rightarrow \]   \[x\left( \frac{1}{25}+\frac{1}{3.25} \right)=\frac{276}{60}\] \[\Rightarrow \]   \[x\left( \frac{2}{5}+\frac{4}{13} \right)=\frac{276}{60}\] \[\Rightarrow \]   \[x=\frac{276}{60}\times \frac{65}{46}=6.5\,km\]


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