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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-8

  • question_answer
    Two cars A and B start simultaneously from a certain place at the speed of 30 km/hr and 45 km/hr respectively. The car B reaches the destination 2 hours earlier than A. What is the distance between the starting point and destination?

    A) 90 km              

    B) 180 km

    C) 270 km             

    D) 360 km

    Correct Answer: B

    Solution :

    Let the time taken by car B to reach destination is x hrs. So, the time taken by car A to reach destination is\[(x+2)h\]. Now, \[{{S}_{1}}{{T}_{1}}={{S}_{2}}{{T}_{2}}\Rightarrow 30\times (x+2)=45\times x\] \[\Rightarrow \,\,\,\,\,\,30\,\,x+60=45x\Rightarrow 15x=60\] \[\therefore \,\,\,\,\,\,x=4hrs\] Now, distance between starting point and destination =         \[{{S}_{2}}{{T}_{2}}\Rightarrow 45\times 4\]= 180km


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