Question
Aman and Raj are running on a circular track that
measures 1800 meters in circumference. Aman runs at a speed of 5 m/s, while Raj runs at 4 m/s. What is the distance covered by Aman when they both meet again at the starting point for the first time after the race begins?Solution
Time taken by Aman to complete a round = 1800 ÷ 5 = 360 seconds And time taken by Raj to complete a round = 1800 ÷ 4 = 450 seconds Time after which they will meet at starting point for first time = LCM (360 and 450) = 1800 seconds Distance covered by Aman in 1800 seconds = 1800 X 5 = 9000 metres
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