Problema Solution

Linda drove to Sacramento, which is 90 miles away. If she had been able to average 30 miles per hour faster, she could have saved an half hour. How fast was she going?

Answer provided by our tutors

let


v = the Linda's average speed, v>0


v + 30 = the average speed 30 mph faster


d = 90 mi the distance passed


since speed = distance/time follows time = distance/speed


d/v = d/(v + 30) + 1/2


90/v = 90/(v + 30) + 1/2


by solving we find:


v = 60 mph


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Linda was going with 60 mph.