Question 85
Neela, Saroj and Paulami start running around a circular stadium and complete one round in 10 s, 6 s, and 14 s, respectively. In how much time will they meet again at the starting point ?
Solution
Neela completes one round around the circular stadium in 10 seconds.
Saroj completes one round around the circular stadium in 6 seconds.
Paulami completes one round around the circular stadium in 14 seconds.
Hence, the three of them meet again at the starting point in LCM(10,6,14) seconds.
The least common multiple (LCM) of 10,6 and 14 is 210 seconds.
So, the three of them meet again after 210 seconds which is 3 minutes 30 seconds.
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