Two runners, Sony and Mony, start running on a circular track of length 200 m at speeds of 18 and 24 km/h, respectively, in the same direction. After how much time from the start will they meet again at the starting point?

To determine when the two runners, Sony and Mony, will meet at the starting point again, we can follow these steps:

1. Convert the speeds from km/h to m/s:

– Sony’s speed: ( 18 , text{km/h} = frac{18 times 1000}{3600} = 5 , text{m/s} )

– Mony’s speed: ( 24 , text{km/h} = frac{24 times 1000}{3600} = frac{24000}{3600} = frac{20}{3} = 6.67 , text{m/s} )

2. Calculate the relative speed:

– The relative speed when both are running in the same direction:

[ text{Relative speed} = text{Speed of Mony} – text{Speed of Sony} = 6.67 , text{m/s} – 5 , text{m/s} = 1.67 , text{m/s} ]

3. Determine the time taken to meet again at the starting point:

– The time taken for the faster runner (Mony) to gain a complete lap over the slower runner (Sony) can be calculated using the track length and the relative speed:

[ text{Time} =