Question 770123
At the beginning of a bicycle ride for charity, Yady Saldarriaga and Dane McGuckian are 30 mi. apart. If they leave at the same time and ride in the same direction, Yady overtakes DAne in 6 hours. If they ride toward each other, they pass each other in 1 hr. What are their rates?
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Same direction DATA:
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Dane distance = x miles ; time = 6 hrs ;rate = x/6 mph
Yady distance = x + 30 mile ; time = 6 hrs ; rate = (x+30)/6 mph
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Toward each other Equation:
x/6 + (x+30)/6 = 30
x + x+30 = 180
2x = 150
x = 75 miles
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Dane rate = 75/6 = 25/2 = 12.5 mph
Yady rate = (75+30)/6 = 105/6 = 17.5 mph
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Cheers,
Stan H.
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