SOLUTION: Students are traveling in two cars to a football game 150 miles away. The first car leaves on time and travels at an average speed of 48mph. The second starts 1/2 hours late and tr

Question 513776: Students are traveling in two cars to a football game 150 miles away. The first car leaves on time and travels at an average speed of 48mph. The second starts 1/2 hours late and travels at an average speed of 58 mph. At these speeds, how long will it take the second car to catch up to the first?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Students are traveling in two cars to a football game 150 miles away. The first car leaves on time and travels at an average speed of 48mph. The second starts 1/2 hours late and travels at an average speed of 58 mph. At these speeds, how long will it take the second car to catch up to the first?
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The 1st car has a head start of 48 mph * 0.5 h = 24 mi
The relative speed of the two cars = 58 - 48 = 10 mph
At this relative speed, the 24 mile separation is made up in 24 mi/10 mph = 2.4 hr

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