Question : A circular running path is 1452 m in circumference. Two men start from the same point and walk in opposite directions at speeds of 7.5 km/h and 9 km/h, respectively. When will they meet for the first time?
Option 1: 5.17 min
Option 2: 5.28 min
Option 3: 5.71 min
Option 4: 5.82 min
Correct Answer: 5.28 min
Solution :
Relative speed = (9 + 7.5) = 16.5 km/h
Distance = $\frac{1452}{1000}$ = 1.452 km
Time = $\frac{\text{Distance}}{\text{Speed}}$
= $\frac{1.452}{16.5}$ hr
= $\frac{1.452}{16.5}×60$ min
= 5.28 min
Hence, the correct answer is 5.28 min.
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