posted by Jessica on .
Two cars leave town going opposite directions. One car is traveling 55 mph, and the other is traveling 65 mph How long will it take before they are 180 miles apart?
Hint: The time for both cars is the same and can be represented by "t." The total distance is 180 miles. The distance = (rate)(time). If you add the (rate)(time) of the first vehicle to the (rate)(time) of the second vehicle, that will equal the total distance of 180 miles. Since you only have one unknown (t), you only need one equation.
The distance from town to one car after a time t is:
d1 = 55 mph*t
The distance from the town to the other car is:
d2 = 65 mph*t
The didstance from one car to the other car is:
d1 + d2 = 55 mph*t + 65 mph*t =
(55 mph + 65 mph)*t =
120 (miles/hour)*t =
120 miles * (t/hour)
When is this 180 miles?
120 miles * (t/hour) = 180 miles -->
(t/hour) = 180 miles/(120 miles) = 1.5
t = 1.5 hours.
Thank you I don't get the next one either please help me!