Robot 1 follows the line y = (4/3)x, while Robot 2 follows y = 2(x − 10). Equating them gives 2x − 20 = (4/3)x, which solves to x = 30 and y = 40. Their paths intersect at (30, 40).
Ganita Manjari Part 2 Class 9 Maths chapter 13 question answer
Class 9 Maths Ganita Manjari Part 2 chapter 13 Two Variables, One Line solutions
Robot 1 moves with slope 4/3 from (0, 0), following the linear path y = (4/3)x. Robot 2 moves with slope 2 starting from (10, 0), following y = 2x − 20. Solving simultaneously by substitution gives 2x − 20 = (4/3)x, leading to (2/3)x = 20, so x = 30. Substituting gives y = 40. Both robots reach (30, 40) in discrete integer steps, so their paths intersect at (30, 40).
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