Cyclist A and B cycled at an average speed of 15km/hr and 20km/hr respectively from the same starting point x on the same route.Cyclist B started his journey 6 min after Cyclist A started.(A part) What were the distances travelled by cyclists A and B 1 h after cyclist A started his journey from point x. (B part) Did cyclist B overtake cyclist A within the first hour of cyclist A's journey.
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Use speed s = distance(d)/time(t)
Since distance d is the same d = st
At 15 km/h, takes shorter time t
At 10 km/h, takes longer time (t + 2/3)
15(t) = (t + 2/3)10 => 15t = 10t + 20/3
5t = 20/3 => t = 20/15 = 4/3 h.
d = st = 15(4/3) or 10(2/3 + 4/3) = 20 km.
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