Question

A circular field has a circumference of 360 km. two cyclists ayush and anju start together and can cycle at speeds os 12km /min and 15 km/min respectively . after how many hours will they meet again at the starting point

pls i will mrk as brainlist pls answer this

Answer 1

Time to complete round the circle.

By ayush = 360/12 = 30min.

By Anuj = 360/15 = 24 min

Now prime factors

30 = 2×3×5

24= 2×2×2×3

LCM = 2×2×2×3×5

Time after both meet = 120 min

or = 2 hr

Answer 2

Answer:

2 hours

Step-by-step explanation:

Given, Circumference of circular field = 360 km.

(i)

Distance covered by Ayush = 12 km/min.

Time = Distance/Speed

         = 360/12

          = 30 minutes

(ii)

Distance covered by Anju = 15 km/min

Time = 360/15

         = 24 minutes

Now,

LCM(30,24) = 2 * 2 * 2 * 3 * 5

                    = 120.

And 120 minutes = 2 hours.

So, they will meet in 2 hours.

Hope it helps!