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 one-third 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.
1 Comment
Rabi narayan panda
10/19/2023 10:15:21 pm
Thanks!
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