Question

a circular field has a circumference of 360 km. three cyclists start together and can cycle 60 kilometre ,72 kilometre and 90 kilometre and are around the field. after how many hours will meet again at the starting point ​

Answer 1

First, we will get how much time all three cyclists take to cover a circumference of 360 km 

So, the time taken for cyclist1 = 360/60 =6days

So, the time taken for cyclist2 = 360/72 = 5 days

So, the time taken for cyclist3 = 360/90  = 4 days

Here, LCM of 6,5,4=60

So, they will meet after 60 days.

Now, in 30 days, first cyclist will travel = 60/6=10 rounds

In 30 days, second cyclist will travel = 60/5=12 rounds

In 30 days, third cyclist will travel = 60/4 = 15 rounds

So, after 60 days, all the 3 cyclists will meet at starting point.

Answer 2

Answer:

First,we will get how much time all three cyclists of 360 km

So,the time taken by the Cyclists 1=360/60=6 days

So the time taken by the Cyclists 2=360/72=5 days

So,the time taken by cyclists 3=360/90=4 days

So, the LCM of 6,5 and 4 =60

So,they will meet after 60 days.

Now,in 30 days first cyclist will travel=60/6=10 rounds

In 30 days second cyclist will travel=60/4=12 rounds

In 30 days third cyclist will travel=60/4=15 rounds

So,after 60 days three cyclists will meet at starting point.

Hope it helps!

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