A circular field has circumference of 360 km. Three cyclists start together and can cycle 48, 60, 72 km a day, round the field. When will they meet again ?

The first cyclist covers \(\frac{48}{360} km\) a day =\( \frac{2}{15}\)
The second cyclist covers \(\frac{60}{360} km\) a day = \(\frac{1}{6}\)
The third cyclist covers\(\frac {72}{360}\) = \(\frac{1}{5}\)

The common denominator is 30.

After 30 days, the first cyclist will have traveled 4 times around. The second cyclist will have traveled 5 times around and the third cyclist will have traveled 6 times around

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## Comments

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TopNewestThey will meet again on the 30th day..

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30th day as they complete their cycles as 7.5,6 and 6 days respectively so their common l.c.m is 30 so they will meet again at 30th day

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Comment deleted Apr 28, 2013

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when will they meet ??

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The first cyclist covers \(\frac{48}{360} km\) a day =\( \frac{2}{15}\) The second cyclist covers \(\frac{60}{360} km\) a day = \(\frac{1}{6}\) The third cyclist covers\(\frac {72}{360}\) = \(\frac{1}{5}\)

The common denominator is 30.

After 30 days, the first cyclist will have traveled 4 times around. The second cyclist will have traveled 5 times around and the third cyclist will have traveled 6 times around

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