Railways Mathematics Time Speed and Distance Question Bank Time, Speed and distance Sample Test Paper-12

  • question_answer Starting from his house, one day a student walks at a speed of \[2\frac{1}{2}\] km/hr and reaches his school 6 minutes late. Next day he increases his speed by 1 km/hr and reaches the school 6 minutes early. How far is the school from his house?

    A)  1.5 km

    B)  1.75 km

    C)  2.25 km           

    D)  2.5 km

    Correct Answer: B

    Solution :

    [b] Distance from his house \[\text{=}\frac{\text{Product}\,\,\text{of}\,\,\text{speed}}{\text{Difference}\,\,\text{of}\,\,\text{speed}}\,\,\text{ }\!\!\times\!\!\text{ }\,\,\text{total}\,\,\text{time}\] \[=\frac{\frac{5}{2}\times \frac{7}{2}}{1}\times \frac{12}{60}\] \[=\frac{35}{4}\times \frac{1}{5}=\frac{7}{4}=1.75\,km\]

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