Problema Solution
Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 276 miles in the same time that Dana travels 246 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they traveled the same length of time, at what speed does Chuck travel?
Answer provided by our tutors
Let
v = Dana's rate, v>0
v + 5 = Chuck's rate
t = the time of the travel
d1 = 246 mi the distance Dana travels
d2 = 276 mi the distance Chuck travels
Since speed = distance/time we have time = distance/speed
d1/v = d2/(v + 5)
246/v = 276/(v + 5)
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v = 41 mph
v + 5 = 41 + 4 = 46 mph
Check travels at a speed of 46 mph.