1) A freight train travels 1 mile in 1 minute 30 seconds. At this rate, how many miles will the train travel in 1 hour?
2) An Olympiad team is made up of students from the 4th, 5th, and 6th grades only. Seven students are 5th graders, eleven students are 6th graders, and onethird of the entire team are 4th graders. How many students are on the team? 3) There is an even number between 200 and 300 that is divisible by 5 and also by 9. What is that number? Solutions 1) Method 1: The train travels 1 mile in 1 minute 30 seconds. Then it will travel 2 miles in 3 minutes. Since 60 minutes contains 20 groups of 3 minutes, the train will travel 20 x 2 = 40 miles in 1 hour. Method 2: The number of miles the train travels in 1 hour is equal to 60 minutes divided by 1.5 minutes. 60 divided by 1.5 = 40. 2) The total number of students in the 5th and 6th grades, 7 + 11 = 18, must be 2/3 of the team. Then 1/3 of the team is 9, and 3/3 or the entire team has 3 x 9 = 27 students. 3) Since the number is divisible by 2, 5, and 9, it is also divisible by the product 2 x 5 x 9 = 90. The multiple of 90 between 200 and 300 is 270.
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October 2018
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