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

  • question_answer
    Rubi goes to a multiplex at the speed of 3 km/h to see a movie and reaches 5 min late. If she travels at the speed of 4 km/h, she reaches 5 min early. Then the distance of the multiplex from her starting point is [SSC CGL Tier II, 2017]

    A) 2 km   

    B) 5 km

    C) 2 m

    D) 5 m

    Correct Answer: A

    Solution :

    [a] Here, a = 3 km/h 6 = 4 km/h \[{{t}_{1}}=5\min =\frac{5}{60}=\frac{1}{12}h\] and \[{{t}_{2}}=5\min \]             \[=\frac{5}{60}=\frac{1}{12}h\] \[\therefore \] Distance between starting point of Ruby and Multiplex = D \[=\frac{ab}{(b-a)}({{t}_{1}}+{{t}_{2}})\] \[=\frac{3\times 4}{(4-3)}\times \left( \frac{1}{12}+\frac{1}{12} \right)\] \[=\frac{3\times 4}{1}\times \frac{2}{12}=2\,km\]


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