Example 1 A train leaves Slaton traveling east at 80 kilometers per hour. An hour later, another train leaves Slaton on a parallel track at 120 km/hr.

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Presentation transcript:

Example 1 A train leaves Slaton traveling east at 80 kilometers per hour. An hour later, another train leaves Slaton on a parallel track at 120 km/hr. How far from Slaton will they meet?

Develop a plan Let d = distance traveled when the trains meet. Let t = the time for the fastest train. DistanceRateTime Slow TrainD Fast TrainD

Try This A car leaves Hartford traveling north at 56 km/hr. Another car leaves Hartford one hour later traveling north on the same road at 84 km/hr. How far from Hartford will the second car overtake the first?

Example 2 A riverboat took 3 hours to make a downstream trip with current of 6 km/hr. The return trip against the same current took 5 hours. Find the speed of the boat.

Develop a Plan Let r = the speed of the boat DistanceRateTime DownstreamD UpstreamD

Try This An airplane flew 5 hours with a tail wind of 25 km/hr. The return flight against the same wind took 6 hours. Find the speed of the airplane in still air.

Last Example, I promise!!! Two cars leave town at the same time going in opposite directions. One of them travels 60 mi/hr and the other 30 mi/h. In how many hours will they be 150 miles apart? distancetime Slow carDistance of slow car Fast CarDistance of fast car