Two cars A and B start racing at the same time on a flat race track which consists of two straight sections each of length $$100$$ π and one circular section as in Fig. The rule of the race is that each car must travel at constant speed at all times without ever skidding. The ratio of time taken by car A to car B is

Question

Two cars A and B start racing at the same time on a flat race track which consists of two straight sections each of length $$100$$ π and one circular section as in Fig. The rule of the race is that each car must travel at constant speed at all times without ever skidding. The ratio of time taken by car A to car B is

Infinity Learn · Accepted Answer

For max. speed $$mvmax2R=$$μmg⇒$$vmax=$$μgR      $$vA=0.1$$×$$10$$×$$100$$     ,                 $$vB=0.2$$×$$10$$×$$200$$          $$=10m/$$$$sec$$                 ,                      $$=20m/$$$$sec$$      $$sA=2$$×$$100$$π$$+100$$π$$=300$$$$π$$m,          $$sB=2$$×$$100$$π$$+200$$π$$=400$$$$π$$m,So, $$tA=30$$π $$sec$$.                                            So, $$tB=20$$$$π$$$$sec$$

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