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A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?A. 36 minutes 22 secondsB. 46 minutes 22 secondsC. 36 minutes 12 secondsD. 46 minutes 12 seconds

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Answer:

D. 46 minutes 12 seconds

Step-by-step explanation:

To find the answer, we need to calculate the least common multiple of 252,308 and 198

252=[tex]2^{2}[/tex]×[tex]3^{2}[/tex]×7

308=[tex]2^{2}[/tex]×7×11

198=2×[tex]3^{2}[/tex]×11

Then least common multiple is

[tex]2^{2}[/tex]×[tex]3^{2}[/tex]×7×11=2772 seconds

2772 = 46×60 + 12

Therefore 2772 secondsis equal to 46 minutes 12 seconds.

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