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19 Jun 2006, 10:58
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hello
plz help needed on the following exercise
explain ur work and the equation used to come to ur answer thanks
Two cyclists travel from city A to city B and start at the same time. The speed of the first cyclist is 16 mph and the speed of the second cyclist is 14 mph. After 5 miles the first cyclist returns to city A, rest 5 minutes and starts going back to city B. The two cyclists arrives at the same time in city B. Knowing that the second cyclist took a 10 minute rest, what is the distance between city A and city B.
plz help needed on the following exercise
explain ur work and the equation used to come to ur answer thanks
Two cyclists travel from city A to city B and start at the same time. The speed of the first cyclist is 16 mph and the speed of the second cyclist is 14 mph. After 5 miles the first cyclist returns to city A, rest 5 minutes and starts going back to city B. The two cyclists arrives at the same time in city B. Knowing that the second cyclist took a 10 minute rest, what is the distance between city A and city B.
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19 Jun 2006, 11:55
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Two cyclists travel from city A to city B and start at the same time. The speed of the first cyclist is 16 mph and the speed of the second cyclist is 14 mph. After 5 miles the first cyclist returns to city A, rest 5 minutes and starts going back to city B. The two cyclists arrives at the same time in city B. Knowing that the second cyclist took a 10 minute rest, what is the distance between city A and city B.
Given
Sa= 16mph, Sb = 14mph, D = distance
Total time for B = D/14 + 10/60 hours
Total time for A = (5x2/16 + 5/60 + D/16) hours
as time for A = time for B
D/14 + 1/6 = 5/8 + 1/12 + D/16)
2D/14x16 = 5/8 + 1/12 -2/12
D/16x7 = 5/8 -1/12
D/16x7 = 52/12x8
D/14= 52/12
D= 60.667 miles (approx 60 miles).
Given
Sa= 16mph, Sb = 14mph, D = distance
Total time for B = D/14 + 10/60 hours
Total time for A = (5x2/16 + 5/60 + D/16) hours
as time for A = time for B
D/14 + 1/6 = 5/8 + 1/12 + D/16)
2D/14x16 = 5/8 + 1/12 -2/12
D/16x7 = 5/8 -1/12
D/16x7 = 52/12x8
D/14= 52/12
D= 60.667 miles (approx 60 miles).
