Question : Zeenat and Nasreen participate in a circular race of 1.2 km. They start the race at a speed of 18 km/hr and 27 km/hr respectively, from the same point at the same time. After how much time (in minutes) will they meet at the starting point for the first time, if they are running in the same direction?
Option 1: 9
Option 2: 7
Option 3: 10
Option 4: 8
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Correct Answer: 8
Solution :
Length of circular race = 1.2 km = 1200 m
The speeds of Zeenat and Nasreen are 18 km/hr and 27 km/hr respectively.
Relative speed of both in same direction = 27 – 18 = 9 km/hr = $9×\frac{5}{18}$ = 2.5 m/s
So, time taken = $\frac{1200}{2.5}=480\ s=8$ minutes
Hence, the correct answer is 8.
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