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Time for a runner from A to catch one running perpendicular to AB from B

The same question, asked 3 times: 25 Apr 2025 S1, 25 Apr 2025 S2, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    25 Apr 2025 S1

    14
    Two boys are standing at points A and B on ground, where distance AB=xAB = x. The boy at B stars running perpendicular to AB with velocity v1v_{1}. The boy at A starts running simultaneously with velocity v and meets the other boy in time t. The value of tt is

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  2. Question 2

    25 Apr 2025 S2

    19
    Two girls are standing at the ends ' AA ' and ' BB ' of a ground where AB=bAB = b. The girl at ' B ' starts running in a direction perpendicular to ' AB ' with velocity ' V1V_{1} '. The girl at ' A ' starts running simultaneously with velocity ' V2V_{2} ' and in shortest distance meets the other girl in time ' tt '. The value of ' tt ' is

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  3. Question 3

    16 Apr 2026 S1

    104
    Two boys are standing at points A and B on ground where distance AB = a. The boy at point B starts running perpendicular to line AB with velocity 'V1V_1'. The boy at point A starts running simultaneously with velocity 'V' and catches the other boy in time 't'. The value of 't' is

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