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 ?

Note by Ritvik Choudhary
5 years, 1 month ago

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They will meet again on the 30th day..

- 5 years, 1 month ago

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

- 5 years, 1 month ago

Comment deleted Apr 28, 2013

when will they meet ??

- 5 years, 1 month ago

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

- 5 years, 1 month ago