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

Question

Philoid · Accepted Answer

Circumference of the circular field is 36 km

Time taken by first cyclist = = = 7.5 days ⇒ 7.5×24 = 180 Hrs

Similarly,

Time taken by second cyclist = = 6 days ⇒ 6×24 = 144 Hrs

Time taken by third cyclist = = 5 days ⇒ 5×24 = 120 Hrs

Now LCM of 180, 144 and 120 is 720

Therefore the time when all three will meet again = = 30 days