Question
Traveling at a speed of 's' km/hr, 'C' requires 22
seconds to complete one lap around the perimeter of a circular track with a radius of 35 meters. Determine the time 'T' takes to cover a distance of 400 km, where the first half is covered at a speed of (s + 4) km/hr, and the remaining half is covered at a speed of (s β 16) km/hr.Solution
ATQ, Distance travelled by 'C' = 2Οr = 2 Γ (22/7) Γ 35 = 220 metres Speed of 'C' = 220/22 = 10 m/sec = 10 Γ (18/5) = 36 km/hr Therefore, s = 36 According to the question, Time taken by 'T' to cover 1st 200 km = {200/(36 + 4)} = 5 hours Time taken by 'T' to cover rest 200 km = {200/(36 β 16)} = 10 hours Total time taken = 5 + 10 = 15 hours
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