Question
In a 400 m race, A can give B a start of 40 m and still
beat him by 8 seconds. If A runs the whole distance in 80 seconds, find the time taken by B to finish the race.Solution
A runs 400 m in 80 s → speed of A = 400/80 = 5 m/s When A runs 400 m, B runs only 360 m (since A gave B 40 m start). Time taken by A = 80 s, so time taken by B to run 360 m = 80 s Speed of B = 360 / 80 = 9/2 m/s Time taken by B to run the full 400 m: = 400 ÷ (9/2) = 400 × 2/9 = 800/9 s Answer: B takes 800/9 seconds.
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