Question : Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race?
Option 1: 220
Option 2: 215
Option 3: 210
Option 4: 225
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Correct Answer: 225
Solution : Given: Speed of Sohan = 36 km/h Speed of Amit = 54 km/h Length of circular track = 1125 m Relative speed of Sohan and Amit (same direction) = 54 – 36 = 18 km/h 18 km/h = 18 × $\frac{5}{18}$ = 5 m/s Time taken by them to meet for the first time = $\frac{\text{length of the track}}{\text{relative speed}}$ = $\frac{1125}{5}$ = 225 sec. Hence, the correct answer is 225.
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