SOLUTION: Kent drives his Mazda 114 miles in the same time that it takes Dave to drive his Nissan 100 miles. If Kent averages 7 miles per hour faster than Dave, find their rates.

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Question 901577: Kent drives his Mazda 114 miles in the same time that it takes Dave to drive his Nissan 100 miles. If Kent averages 7 miles per hour faster than Dave, find their rates.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Kent drives his Mazda 114 miles
Dave drives his Nissan 100 miles.
both take same time
Dave speed = x
Kent speed = (x+7)
t=d/r
114/(x+7)= 100/x
114x=100(x+7)
114x=100x+700
114x-100x=700
14x=700
/4
x= 50 mph
Dave's speed = 50 mph
Kent's speed = 57 mph