# algebra

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Truck A leaves a truck stop traveling at 80 km/hr. Four hours later, truck BB leaves the same truck stop traveling in the same direction at 90 km/ hr. How long does it take truck B to catch up to truck A?

• algebra -

let the time traveled by truck A be t hours, then A went 80t km

clearly the time traveled by truck B must be t-4 hours,
Didn't he then go 90(t-4) km

Now I wonder how far each of them went, ...
mmmmhhh?

• algebra -

The distance they travel is the same, and the time is 4 hours different.

DistanceA=80*time
DistanceB=90*(time-4)

set them equal, and solve for time. That is the total time, if you want the time B was traveling, subtract four hours.

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