3 racers A B and C take part in a race The racing track is in the form of concentric circles with 3 ...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

3 racers A,B and C take part in a race. The racing track is in the form of concentric circles with 3 track one for A, one for B and one for C as shown in the figure. A has to start from a and reach back to a to complete his race. Similarly B and C will start and end at b and c respectively. The radius of outer most track is 77 m. and the distance between two consecutive track is 7 cm. Speed of A= 8 m/s, Speed of B= 9 m/s and Speed of C= 9.5 m/s

Quantity I: Speed of the person who reaches his destination first.

Quantity II: 9

Quantity I > Quantity II

Quantity I ≥ Quantity II

Quantity II > Quantity I

Quantity II ≥ Quantity I

Quantity I = Quantity II or Relation cannot be established

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Explanation:

I: circumference of circle c= 2πr=2π*77=484
circumference of circle b= 2π*70=440
circumference of circle a= 2π*63= 396
Time taken by A= 396/8= 49.5 s
Time taken by B= 440/9=48.88 s
Time taken by C= 484/9.5= 50.94 s
So B reaches first and his speed is 9 m/s

Hence, option 5 is the correct answer.