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  5. Speed, Time and Distance

Railways Quantitative Aptitude Speed, Time and Distance Sample Paper Time, Speed and distance Sample Test Paper-12

  • question_answer
    Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travels in opposite directions, they meet after one hour and if they travel in same direction from A towards B, then P meets Q after 6 hours. The speed of car P is

    A)  70 km/hr          

    B)  120 km/hr

    C)  60 km/hr          

    D)  None of these

    Correct Answer: A

    Solution :

    [a] Let speed of car P be x km/hr. and car Q be 4 Km/hr. When cars are moving in opposite direction \[\frac{120}{x+y}=1\Rightarrow x+y=120\]                    ? (1) When cars are moving in same direction \[\frac{120}{x-y}=6\Rightarrow 6x-6y=120\] \[\Rightarrow \] \[x-y=20\]                                    ? (2) From (1) and (2) x = 70 km/hr., y = 50 km/hr. \[\therefore \] Speed of car P = 70 km/hr.


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