Question

Heya !!! ❤

Help me with this one :

A circular field has a circumference of 275 kilometre. Three cyclists start together and cycle 25 , 55 and 50 km a day, round the field .When will they meet again

Answer 1

Firstly, calculating how much time all three cyclists take to cover a circumference of 275km 

So, the time taken for cyclist1 = 275/25= 11 days

So, the time taken for cyclist2 = 275/55 =5 days

So, the time taken for cyclist3 = 275/50= 5.5days

Here, LCM of 11,5,5.5 = 55

So, they will meet after 55 days.

Now, in 55 days,

first cyclist will travel = 55/11= 5 rounds

second cyclist will travel = 55/5= 11rounds

third cyclist will travel = 55/5.5 = 10rounds

So, after 55 days, all the 3 cyclists will meet at starting point.