Math Problem Statement
'A' and 'B' start walking towards each other from point 'X' and 'Y', respectively. 'A' is walking at 4 m/s and 'B' is walking at 7 m/s. If distance between 'A' and 'B' is 60 metres and they're travelling back and forth between 'X' and 'Y', then find the total distance covered by 'B' by the time he meets 'A' for the third time given that distance covered by 'A' in that time is (2P/11) metres.
Solution
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Math Problem Analysis
Mathematical Concepts
Relative Motion
Speed and Distance
Algebra
Formulas
Relative speed: v_relative = v_A + v_B
Time to first meeting: t_1 = d / v_relative
Distance covered by 'A': d_A = v_A * t
Distance covered by 'B': d_B = v_B * t
Theorems
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Suitable Grade Level
Grades 9-11
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