Racing track are in the shape of two concentric circle having the radius of 100 m and 125 m respectively. Rohit runs on inside track and completes the race in 1 min 45 seconds. Chirag runs on outer track and completes the race in 2 min 40 seconds. Who runs faster?
Racing track are in the shape of two concentric circle having the radius of 100 m and 125 m respectively. Rohit runs on inside track and completes the race in 1 min 45 seconds. Chirag runs on outer track and completes the race in 2 min 40 seconds. Who runs faster? Correct Answer Rohit
Length of the track = Periphery of circle
Length of inside track = 2πr = 2 × 3.14 × 100 = 628 m
We know that,
Speed = Distance/Time
Speed of Rohit = Length of track in m/Time taken in seconds
Time taken by Rohit = 1 min 45 seconds = 105 seconds
Speed of Rohit = 628/105 = 5.98 m/sec
Length of outside track = 2πr = 2 × 3.14 × 125 = 785 m
Time taken by Chirag = 2 min 40 seconds = 160 seconds
Speed of Chirag = 785/160 = 4.90 m/sec
Speed of Rohit is more than the speed of Chirag.
∴ Rohit runs faster.