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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 next meet at the starting point again ?
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- 46 minutes 12 seconds
- 45 minutes
- 42 minutes 36 seconds
- 26 minutes 18 seconds
Correct Option: A
Required time = LCM of 252,
308 and 198 seconds.
Now, 252 = 2 × 2 × 3 × 3 × 7
308 = 2 × 2 × 7 × 11
198 = 2 × 3 × 3 × 11
∴ LCM = 2 × 2 × 3 × 3 × 7 × 11
= 36 × 77 seconds
| = | minutes | |
| 60 |
| = | = 46 minutes 12 seconds | |
| 5 |
