Question

Question: 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?

Answer 1

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

time 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