a circular field has a circumference of 360km. 3 cyclist start together and can cycle 48,60,72 km a day. when will they meet
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Circumference of circular field = 360 km
Distance covered by 1st cyclist per day =48 km
Number of days taken by the 1st cyclist to complete the round=360/48=7.5 days= 7.5×24 hours= 180 hours
Distance covered by 2nd cyclist per day =60 km
Number of days taken by the 2nd cyclist to complete the round=360/60=6 days=6×24 hours= 144 hours
Distance covered by 3rd cyclist per day = 72 km
Number of days taken by the 3rd cyclist to complete the round= 360/72 =5 days = 5×24 hours =120 hours
Now the smallest distance will be LCM of 180, 144 and 120 =720 hours
720/24 = 30 days
So, they will meet after 30 days
Distance covered by 1st cyclist per day =48 km
Number of days taken by the 1st cyclist to complete the round=360/48=7.5 days= 7.5×24 hours= 180 hours
Distance covered by 2nd cyclist per day =60 km
Number of days taken by the 2nd cyclist to complete the round=360/60=6 days=6×24 hours= 144 hours
Distance covered by 3rd cyclist per day = 72 km
Number of days taken by the 3rd cyclist to complete the round= 360/72 =5 days = 5×24 hours =120 hours
Now the smallest distance will be LCM of 180, 144 and 120 =720 hours
720/24 = 30 days
So, they will meet after 30 days
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