Question : Raju and Sohan started a car race from the same point, in the same direction and at the same circular track of length 1725 m with speeds of 72 km/hr and 90 km/hr, respectively. After how much time (in seconds) will they meet again for the first time?
Option 1: 345 seconds
Option 2: 335 seconds
Option 3: 340 seconds
Option 4: 350 seconds
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Correct Answer: 345 seconds
Solution :
Given: Distance = 1725 m
Relative speed between raju and sohan = 90 – 72 = 18 km/hr
= $18\times \frac{5}{18}$
= 5 m/s
$\therefore$ Time = $\frac{\text{Distance}}{\text{Speed}}=\frac{1725}{5}=345$ seconds
Hence, the correct answer is 345 seconds.
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