Question

the circumference of a circular ground is 360 km. three cyclist starts cycling together and cycles 48 km, 60 km, 72km a day . when they will meet again

Answer 1

Answer:

• Ur question :

The circumference of a circular ground is 360 km. three cyclist starts cycling together and cycles 48 km, 60 km, 72km a day . when they will meet again

• Solution :

Circumference of circular ground = 360 km

Distance covered by first cyclist per day = 48 km

Number of days taken by first cyclist to cover the round = 360/48 = 7.5 days = 7.5 x 24 hours = 180 hours.

Diatance covered by 2nd cyclist per day = 60 km

Number of days taken by 2nd cyclist to cover the round = 360/60 = 6 days = 6 x 24 hours = 144 hours.

Diatance covered by the 3rd cyclist per day = 72km

Number of days taken by 3rd cyclist to cover the round = 360/72 = 5 days = 5 x 24 hours = 120 hours.

Now, the shortest distance will be the LCM of 180, 144, 120 = 720

And 720 hours = 720/24 days = 30 days.

So, they will meet in 30 days.