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How to Calculate Elevator Time Per Floor | 5th Grade Math Problem
Mathematics
Grade 5
Question Content
Jiro and his big brother ride an elevator 8 floors up to their apartment. The ride takes 42 seconds, and the elevator makes no stops on the way. Suppose the elevator takes the same amount of time to go up each floor. How many seconds does it take the elevator to go up each floor? Show your work.
Correct Answer
5.25 seconds or 21/4 seconds
Detailed Solution Steps
1
Step 1: Identify the total time and total number of floors. The total time for the ride is 42 seconds, and the elevator travels 8 floors.
2
Step 2: Set up the division problem. Since the time per floor is equal, divide the total time by the number of floors: 42 ÷ 8.
3
Step 3: Calculate the result. 42 divided by 8 equals 5.25, which can also be written as the fraction 21/4.
Knowledge Points Involved
1
Fractions as Division
This concept states that a fraction a/b can be interpreted as the division of the numerator a by the denominator b. It is used when dividing a whole quantity into equal parts, like splitting total time into equal time per floor. In this problem, 42/8 (which simplifies to 21/4) is the fraction representing the time per floor, derived from dividing total time by number of floors.
2
Division of Whole Numbers
This is the process of splitting a total quantity into equal groups. Here, we split the total 42 seconds into 8 equal groups (one group per floor) to find the time for each individual floor. It is a foundational arithmetic operation for solving equal-sharing problems.
3
Decimal and Fraction Conversion
This involves converting between decimal and fractional representations of a number. The result 42 ÷ 8 can be expressed as the decimal 5.25 or the simplified fraction 21/4. This skill is useful for presenting answers in the most appropriate form for a given problem.
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