Question

radius of a circular track is 63m. two cyclists sonu and mohit start together from the same point and in same direction with speed 33m/min and 44m/min respectively. after how many minutes they meet again at the starting point. solve it in detail

Answer 1

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.

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Answer 2

Answer:

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.

Step-by-step explanation:

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