Question

Radius of a circular track is 63m. Two cyclists surjeet and Jacob start together from the same position, at the same time and in the same direction with speeds 33m / min and 44m / min. After how many minutes they meet again at the starting point? *​

Answer 1

Answer:

Step-by-step explanation:

Given :

Radius of a circular track (r)= 63 m

Speed of Sonu = 33 m/min

Speed of Mohit = 44 m/min

 Circumference of a circular track(C) = 2πr

C = 2× 22/7 × 63 = 44 × 9 = 396 m

Distance of a circular track= Circumference of a circular track = 396 m

Time taken by Sonu to complete one round = 396/ 33 min = 12 min

[ Time = Distance/speed]

Time taken by Mohit to complete one round = 396/ 44 min = 9 min

We have to find the LCM of 12 min & 9 min

12 = 2×2×3

9 = 3 × 3

LCM of 12 & 9 = 2×2 × 3×3 = 36

Hence, Sonu and Mohit will meet at the starting point again after 36 minutes.