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Race problem
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Q. In an 800 m race A beats B by 160 m or 20 seconds. In how many seconds can A cover 360 m?
A beats B by 160 m means B is 160 m behind A
Also A beats B by 20 seconds i.e. B reach the finishing line after 20 seconds.
Hence speed of B = 160/20 = 8 m/s.
Total time taken by B to cover 800 m = 800/8 = 100s.
so total time taken by A = 100 – 20 = 80 sec.
Speed of A = 800/80 = 10 m/s.
So A will cover 360 m in 360/10 = 36 seconds.
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