A circular field has a circumference of 360km.three cyclists start together and cycle for 48,60,72 km a day respectively around the field.when will they meet again?
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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 days
timet 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 start point
So time taken for cyclist1 =360/48 = 7.5 days
timet 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 start point
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