Question 1198627
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x = number of hours elapsed since they left town A


y = 65x = distance traveled by Carlos
y = 55x = distance traveled by Robert
I'm using the formula
distance = rate*time
The distances are in kilometers.


65x-55x = 10x = gap between the drivers at time x


Set this gap width equal to 55 km and solve for x.
10x = 55
x = 55/10
x = 5.5
Five and a half hours after the two men leave town A, is when they will be 55 km apart.


Carlos travels 65x = 65*5.5 = 357.5 km
Robert travels 55x = 55*5.5 = 302.5 km
This is a difference of 357.5-302.5 = 55 km.


Answer: 5.5 hours
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