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

  • question_answer
    A man starts from a place P and reaches the place Q in 7 h. He travels 1/4th of the distance at 10 km/h and the remaining distance at 12 km/h. The distance (in km) between P and Q is [SSC CGL Tier II, 2015]

    A) 80

    B) 70

    C) 72

    D) 90

    Correct Answer: A

    Solution :

    [a] Let the distance between P and Q is x and large number is 4x. Then, according to the question, \[\frac{x\times \frac{1}{4}}{10}+\frac{x\times \frac{3}{4}}{12}=7\] \[\Rightarrow \]                                    \[\frac{x}{40}+\frac{3x}{48}=7\] \[\Rightarrow \]                                    \[\frac{x}{40}+\frac{x}{16}=7\] \[\Rightarrow \]                                    \[\frac{2x+5x}{80}=7\] \[\Rightarrow \]                                    \[7x=80\times 7\] \[\therefore \]                            \[x=80\,km\]


You need to login to perform this action.
You will be redirected in 3 sec spinner