1.

A circular field has a circumference of 360 km .3 cyclists start together and can cycle 48 , 60, 72 know a day round the field. When will they meet again

Answer»

First, we will GET how much time all THREE cyclists TAKE to cover a circumference of 360 km 

So, the time taken for cyclist1 = 360/48 = 7.5 days

So, the time taken for cyclist2 = 360/60 = 6 days

So, the time taken for cyclist3 = 360/72  = 5 days

Here, LCM of 7.5, 6, 5 = 30

So, they will MEET after 30 days.

Now, in 30 days, first cyclist will travel = 30/7.5 = 4 rounds

In 30 days, second cyclist will travel = 30/6 = 5 rounds

In 30 days, third cyclist will travel = 30/5 = 6 rounds

So, after 30 days, all the 3 cyclists will meet at starting point.


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