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Question: Two cars left Cape Town for Hermanus at the same time. Car A travelled at an average speed of 100 km per hour for the first 12 minutes and at 80 km per hour for the last 2 hours. It took Car A 2 hours 12 minutes in total. Car B travelled at an average speed of 90 km per hour for the whole trip. Answer the questions below based on the information above Find the distance between Cape Town and Hermanus. * 1 point Which car reached Hermanus first? * 1 point Car A Car B
First, let's find the distance between Cape Town and Hermanus using the speeds and travel times for both cars A and B. Car A traveled 100 km/hour for 12 minutes, which equals 20 km (since 12 minutes is 1/5 of an hour, and 1/5 of 100 km/hour is 20 km). Then, Car A traveled 80 km/hour for 2 hours, which equals 160 km. Adding these two distances together, we can see that the total distance Car A traveled was 180 km. Since both cars started from the same place and ended in the same place, this is also the distance between Cape Town and Hermanus. Next, let's determine which car reached Hermanus first. Car A took 2 hours and 12 minutes to reach Hermanus, as stated in the problem. Now for Car B, it traveled at 90 km/hour for the entirety of the trip. To find out how long it took Car B to travel the same distance (180 km), we can divide the distance by the speed: 180 km ÷ 90 km/hour = 2 hours. Therefore, Car B reached Hermanus first.
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