Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    A boy goes to school at a speed of 5 km/h and returns to the village at a speed of 4 km/h. If he takes 4 hr 30 min in all, what is the distance between the village and the school?

    ক)
    7 km
    খ)
    10 km
    গ)
    4 km
    ঘ)
    5 km
    ঙ)
    8 km

    Explanation

    Let the distance between village and school = x km Time taken to travel from village to school at a speed of 5 km/hr = x/5 hr Time taken to travel from school to village at a speed of 4 km/hr = x/4 hr Given: total time taken = 4 hrs 30 minutes =4  3060= 4\;\frac{{30}}{{60}} hours = 9/2 hrs Thus, x5+  x4=  92\frac{x}{5} + \;\frac{x}{4} = \;\frac{9}{2} Or, x = 10 km ∴ The distance between village and school = 10 km

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