Anjali and Babita are running on a circular track in opposite directions from same time at same point with speeds of 8 m/sec and 6 m/sec, respectively. If the length of the circular track is 960 m, how many times distinct points they will meet?
Answer & explanation
Correct answer: option 1
According to question ,
Time = \(\frac{DIstance}{SPeed}\)
Anjali complete a round in = \(\frac{960}{8}\) = 120 seconds
Babita complete a round in = \(\frac{960}{6}\) = 160 seconds
They meet again at the starting point in ,
LCM(120,160) = 480 seconds
Now, relative speed of Anjali and Babita(when moves in opposite direction ) =
8 + 6 = 14 m/s
Time taken by them to cover 960 m = \(\frac{960}{14}\)) seconds
After every \(\frac{960}{14}\) seconds, they will meet on the track.
So in 480 seconds, the number of times they meet
= \(\frac{480 × 14 }{960}\) = 7 times