a circular field has a circumference of 360km three cyclists start together and can cycle 48,60,72km a day round the field . When will they meet again???
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12
First we will get how much time all three cyclist take to cover a circumference of 360 km.
So time taken for cyclist1 =360/48 = 7.5 daystimet taken for cyclist2 = 360/60 = 6 days
time taken for cyclist3 = 360/ 72 = 5 days
Here we can see 7.5, 6,5 is in l .c, m so we have to get l.c.m of 7.5, 6, 5 i.e 30
so they will meet after 30 days.
in 30 days first cyclist will travel = 30/7.5= 4 rounds
in 30 days 2nd cyclist will travel = 30/6= 5 rounds
in 30 days third cyclist will travel = 30/5 = 6 rounds
so after 30 days all the three cyclists will meet at start point
janakibaiju:
or you may use this ans. Cyclist 1: Covers the entire circumference of field in 360/48 = 7.5 days = 180 hours Cyclist 2: Covers the entire circumference of field in 360/60 = 6 days = 144 hours Cyclist 3: Covers the entire circumference of field in 360/72 = 5 days = 120 hours LCM of 180, 144, 120 gives when they would meet LCM = 720 hours = 720/ 24 = 30 days
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Answered by
2
360/48=7.5 days
360/60=6 days
360=72=5 days
7.5 *4times = 30 days
6days*5 times = 30 days
5days * 6 times = 30 days
all cyclist will meet again after 30 days.
360/60=6 days
360=72=5 days
7.5 *4times = 30 days
6days*5 times = 30 days
5days * 6 times = 30 days
all cyclist will meet again after 30 days.
thanks
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