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Q.

Seema, Meena and Reena start jogging around a circular stadium and complete one round in 54sec, 42sec and 63 sec respectively. After approximately how many minutes they will meet again at the starting point ?


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a

8.5 minutes

b

10.3 minutes

c

3.9 minutes

d

6.3 minutes 

answer is D.

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Detailed Solution

Concep- Here, it is stated that Seema, Meena, and Reena begin running around a circular stadium, doing one lap in 54, 42, and 63 seconds, respectively. Take the LCM of all three numbers to determine the time they will meet. Try that; you'll undoubtedly discover the solution.
Here, it is stated that Seema, Meena, and Reena begin running around a circular stadium, doing one lap in 54, 42, and 63 seconds, respectively.
We must find the LCM of all three numbers in order to determine how long it will be before they cross paths again at the initial position.
So, factors of .
Also, factors of 42=2×3×7  .
Again, factors of 63=7×3×3  .
So required LCM we get is,
LCM =3×3×3×2×7=378   seconds
So let us convert seconds into minutes.
To convert seconds into minutes, divide seconds value by 60 .
So,   378 60 =6.3     minutes.
Seema, Meena and Reena start jogging around a circular stadium and complete one round in 54sec,42sec   and 63 sec respectively. After approximately 6.3 minutes they will meet again at the starting point.
Therefore, the correct answer is option (4).
 
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