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Railways Sample Paper RRB (Group D) Sample Test Paper-2

  • question_answer
    A bus starts running with the initial speed of 33 km/hr and its speed increases every hour by certain amount. If it takes 7 hours to cover a distance of 315 km, then what will be hourly increament (in km/hr) in the speed of the bus?

    A)  1                    

    B)  2

    C)  3                    

    D)  4

    Correct Answer: D

    Solution :

    [d] Here, \[{{S}_{n}}=315,\,\,n=7,\,\,a=33\,\,d=?\] According to A.P \[{{s}_{n}}=\frac{n}{2}\,\,[2a+(n-1)\,\,d]\] \[315=\frac{7}{2}\,\,[2\times 33+(7-1)\,\,d]\] \[\frac{315\times 2}{7}=(66+6d)\] \[90=60+6d\] \[6d=90-\,66=24\] \[\therefore \,\,\,d=\frac{24}{6}=4\] \[\therefore \] Required hourly increment (in km/hr) in the speed of bus \[=4\,\,km/hr.\]


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