Question : On a circular path of 693 m, Sujata and Anjali start walking from the same point but in opposite directions at speeds of 2.85 km/hr and 1.5 m/s, respectively. When they will meet for the first time?
Option 1: After 6.75 minutes
Option 2: After 6.05 minutes
Option 3: After 5.04 minutes
Option 4: After 4.56 minutes
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Correct Answer: After 5.04 minutes
Solution :
Given: Speed of Sujata = 2.85 km/hr
Speed of Anjali = 1.5 m/s
Circular path = 693 m
Speed of Sujata = $2.85×\frac{5}{18}=0.792$ m/s
Since they are moving in opposite directions,
Relative speed = $1.5+0.792=2.292$ m/s
Time taken by them to meet for the first time = $\frac{693}{2.292}=302.4\; sec =\frac{302.4}{60}$= 5.04 minutes
Hence, the correct answer is 'After 5.04 minutes'.
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