A circular field has a circumference of 360 km. Three cyclists start together and can cycle 48,60 and 72 km a day, round the field. When will they meet again?

By Ritesh|Updated : November 9th, 2022

Three cyclists start together and can cycle 48,60 and 72 km a day, around the field. They will meet again in 30 days. Steps to calculate the time required for all three cyclists will meet at the starting site again:

From the question, we can write as

  • Time taken for cyclist 1 = 360/48 = 7.5 days
  • Time taken for cyclist 2 = 360/60 = 6 days
  • time taken for cyclist 3 = 360/72 = 5 days

7.5, 6, 5 is in LCM so we should get LCM of 7.5, 6, 5 i.e. 30

They will meet after 30 days.

  • 1st cyclist will travel in 30 days = 30/7.5 = 4 rounds
  • 2nd cyclist will travel in 30 days = 30/6 = 5 rounds
  • 3rd cyclist will travel in 30 days = 30/5 = 6 rounds

Thus, all three cyclists will meet at the starting site after 30 days.

Measurement of Circle

  • The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the center of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m
  • The radius of the circle is considered when applying the formula to determine the circumference of the circle. Therefore, in order to calculate the circle's perimeter, we need to know the radius or diameter value.
  • The area of any circle is the area that it covers or the area that it encloses.
  • By splitting the circle into two equal pieces, the semicircle is created. As a result, the semicircle's circumference also divides in half.
  • The region a semi-circle occupies in a 2D plane is known as the area of the semi-circle. Half of the area of a circle with equal radii is represented by the area of the semicircle.

Summary:

A circular field has a circumference of 360 km. Three cyclists start together and can cycle 48,60 and 72 km a day, round the field. When will they meet again?

A circular field has a circumference of 360 km. Three cyclists start together and can cycle 48,60 and 72 km a day, around the field. They will meet again in 30 days. The LCM is used to find out these values.

Comments

write a comment

CDS & Defence Exams

CDSCAPFAFCATTA ExamACC ExamOther ExamsPracticePreparation

Follow us for latest updates