Question
In a 500 m race, A runs at 5 m/s and B at 4 m/s. A gives
B a start of 50 m. Who will win the race and by how much distance?Solution
B has to cover 500 − 50 = 450 m. Time taken by A to run 500 m: T₁ = 500 / 5 = 100 s Time taken by B to run 450 m: T₂ = 450 / 4 = 225/2 = 112.5 s A finishes in 100 s, B in 112.5 s, so A wins. Distance covered by B in 100 s: = 4 × 100 = 400 m A’s distance = 500 m Difference = 500 − 400 = 100 m Answer: A wins by 100 m.
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