Question

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If Sunny and Johnny walk at speed of 2m/s and 4m/s respectively around a circle of radius 7 m , How long will it take them to be at the same spot.​

Answer 1

Given :-

• Speed of Sunny = 2m/s.
• Speed of Johnny = 4m/s.
• Radius of Circle = 7m.

To Find :-

• How long will it take them to be at the same spot. ?

Solution :-

→ Circumference of Circle = 2πr

→ Circumference = 2 * 22/7 * 7

→ Circumference = 44m.

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Now,

we Can Say That, In One Round They will Cover Distance Equal to Circumference of Circle that is 44m.

So,

→ Time Taken by Sunny = (Distance/Speed) = (44/2) = 22 seconds.

→ Time Taken by Johnny = (Distance/Speed) = (44/4) = 11 seconds.

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Concept :-

Meeting at the starting point on a circular track Again For First Time : -

Step 1: Find the time taken by all the runners to complete one round.

Step 2: Calculate the LCM of those times.

The LCM will be the answer to the question.

So, we Have now :-

→ Time Taken by Sunny = 22 seconds .

→ Time Taken by Johnny = 11 seconds.

LCM :-

→ 22 = 2 * 11 * 1

→ 11 = 11 * 1

LCM = 2 * 11 * 1 = 22.

Hence, we can say That, it will take 22 Seconds to them to be at the same spot For The first Time.

Answer 2

Refer The Attachment.......