PART III: REVIEW FOR THE WRITTEN EXAMINATION in .NET
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(10 minutes) Let the rst automobile = (30 mph) ___________ 10 minute head start (60 minutes) at 30 mph 1 (30) __ = 5 miles traveled prior to second automobile 6 reaching same intersection The second automobile is gaining at a rate of 60 mph 30 mph = 30 mph How long (t) will the second automobile gaining at a rate (r) of 30 mph take to cover the (d) 5 mile head start of the rst automobile d=r t 5 = 30 (t) Divide both sides of the equation by 30 1 __ = t 6 1 of an hour = 10 minutes = t = time required for the second automobile __ 6 to overtake the rst automobile Example: Two trains pass in the night One train is traveling west at 60 mph while the second train is going east at 80 mph When will the trains be 420 miles apart Note: Use the formula: d = r t Note: When objects are moving in opposite directions, regardless of whether the objects are moving towards each other or away from each other, the rate at which the distance between them is changing is the sum of their individual rates Therefore: 60 mph + 80 mph = 140 mph Let t = number of hours the trains will travel after passing each other 420 miles = 140 mph t 420 miles _________ = t divide by 140 on both sides of the equation to isolate 140 mph the variable

