A circular path is 800 m long. Beena and Arun run in

Solution

Beena takes 53(1/3) seconds to run from the meeting point back to point A. Since the path is circular, this distance is half the total length of the path (since they meet after running halfway around). Therefore, the distance Beena covers after the meeting is... Distance =800 /2 =400 meters Speed of Beena = Distance /Time = 400 / (160/ 3) = (400 x 3)/160 = 7.5 m/sec Thus, Statement I is incorrect, as Beena's speed is 7.5 m/sec, not 6 m/sec. Arun takes 2 minutes (or 120 seconds) to run from the meeting point back to point A. The distance Arun covers after the meeting is also 400 meters.   Arun's speed = 400 /120 =10/3 Speed of Arun = 10/3m/sec ≈ 3.33 m/sec The ratio of speeds = Speed of Arun: Speed of Beena =10 /3:7.5 =10:22.5 =100:225 =4:9 Thus, Statement II is also incorrect, as the ratio of the speeds of Arun and Beena is 4: 9, not 2: 3.