SOLUTION: Carlos and Robert leave town A at the same time. They are heading to town B. Carlos, driving his sports car, travels 65kph. Robert, on a motorcycle travels at 55 kph. How long will

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Carlos and Robert leave town A at the same time. They are heading to town B. Carlos, driving his sports car, travels 65kph. Robert, on a motorcycle travels at 55 kph. How long will      Log On

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Question 1198627: Carlos and Robert leave town A at the same time. They are heading to town B. Carlos, driving his sports car, travels 65kph. Robert, on a motorcycle travels at 55 kph. How long will it be before they are 55km apart?
Let x be the ?

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

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