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

  • question_answer
    A car driver leaves Bengaluru at 8 : 30 am and expects to reach a place 300 km from Bengaluru at 12 : 30 pm at 10 : 30 he finds that he has covered only 40% of the distance. By how much he has to increase the speed of the car in order to keep up his schedule? [SSC CGL Tier II, 2014]

    A) 45 km/h

    B) 40 km/h

    C) 35 km/h

    D) 30 km/h

    Correct Answer: D

    Solution :

    [d] Distance covered by car in 2 h, i.e., from 8.30 am to 10.30 am = 40% of 300 \[=\frac{40\times 300}{100}=120\,km\] Average speed of driver for first two hours \[=\text{ }\frac{120}{2}=60\,km/h\] Now, he has to cover the remaining distance, i.e., \[(300-120)\] 180 km in 2 h to reach on time \[\therefore \] Average speed for next two hours \[=\frac{180}{2}=90\,km/h\] \[\therefore \] He has to increase the speed by \[(90-60)=30\,km/h\]


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