it takes you 44 seconds to walk from the first​ (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor​ (at the same​ pace, assuming all floors have the same​ height)?

To solve this problem, we need to determine the time it will take to walk from the first floor to the sixth floor, given that it takes 44 seconds to walk from the first floor to the third floor.

### Step 1: Determine the number of floors traveled
- From the first floor to the third floor, you cover 2 floors (the second and third floors).
- From the first floor to the sixth floor, you will cover 5 floors (the second, third, fourth, fifth, and sixth floors).

### Step 2: Find the time per floor
Since it takes 44 seconds to cover 2 floors, the time per floor is:

\[
\text{Time per floor} = \frac{44 \text{ seconds}}{2 \text{ floors}} = 22 \text{ seconds per floor}
\]

### Step 3: Calculate the total time to the sixth floor
Now, multiply the time per floor by the number of floors to be covered to reach the sixth floor:

\[
\text{Total time} = 22 \text{ seconds per floor} \times 5 \text{ floors} = 110 \text{ seconds}
\]

### Final Answer:
It will take you **110 seconds** to walk from the first floor to the sixth floor at the same pace.

Would you like further details or have any questions?

Here are some related questions:
1. How would the time change if each floor had different heights?
2. What if you took a break of 5 seconds at each floor—how long would it take then?
3. If you ran at double the speed, how long would it take to reach the sixth floor?
4. How does the time change if there’s an escalator moving at a certain speed?
5. How long would it take to walk down from the sixth floor to the first floor?

**Tip:** When solving problems involving proportional relationships, it's helpful to first find the rate per unit before scaling up or down.

It takes you 44 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?

Find out how to calculate the time it takes to walk from the first floor to the sixth floor of a building, assuming equal floor heights. This problem uses ratios and proportional reasoning to find the solution. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation