Consider an equilateral triangle ABC as given in the following diagram : A /X -- Two people start at the same time from points A and B with speeds 30 km per hour and 20 km per hour respectively, and move on the sides of the triangle in the clockwise direc

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Q: 55 (CAPF/2018)
Consider an equilateral triangle ABC as given in the following diagram : A /X -- Two people start at the same time from points A and B with speeds 30 km per hour and 20 km per hour respectively, and move on the sides of the triangle in the clockwise direction. They meet each other for the first time at

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,6,1,0,0,1,6

keywords: 

{'equilateral triangle abc': [0, 0, 0, 1], 'triangle': [0, 1, 0, 1], 'diagram': [0, 3, 2, 5], 'speeds': [0, 0, 2, 2], 'km': [0, 0, 2, 1], 'hour': [5, 5, 11, 12], 'sides': [3, 0, 3, 3]}

In this question, we have an equilateral triangle ABC. Two people start simultaneously from points A and B and move along the sides of the triangle in the clockwise direction.

The person starting from point A has a speed of 30 km per hour, and the person starting from point B has a speed of 20 km per hour.

Since the triangle is equilateral, all three sides are of equal length. Therefore, the time taken for both individuals to reach point C, the third vertex of the triangle, will be the same.

Therefore, the two people will meet for the first time at point C. This is because both individuals have different speeds, but they will cover the same distance in the same amount of time.

Hence, option-1, point C, is the correct answer. This is where the two people will meet each other for the first time.