Question
Download Solution PDFIn a circular race of 5000 m, starting from the same point, the speeds of two contestants A and B are 36 km/h and 54 km/h, respectively. The difference between the time taken (in seconds) to meet for the first time when they are running in the opposite directions and when they are running in the same direction?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Circular race length: 5000 m
Speed of A: 36 km/h (or 10 m/s)
Speed of B: 54 km/h (or 15 m/s)
Concept:
Time = Distance/Speed. In opposite directions, the speeds add up; in the same direction, they subtract.
Solution:
Time taken when running in opposite directions = 5000/(10 + 15) ⇒ 200 seconds
Time taken when running in the same direction = 5000/(15 - 10) ⇒ 1000 seconds
The difference in times = 1000 - 200 ⇒ 800 seconds
Therefore, the difference between the times taken to meet for the first time in opposite and the same directions is 800 seconds.
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