How many minutes does it take for a woman to walk 1200 feet if she walks at the rate of 4 feet per second?
Real Tutor Solution
Quick Answer
It takes 5 minutes for the woman to walk 1200 feet.
Step-by-step Solution
To determine how many minutes it takes for a woman to walk 1200 feet if she walks at a rate of 4 feet per second, follow these steps:
- Calculate the time in seconds:
- Distance = 1200 feet
- Speed = 4 feet per second
- Time (in seconds) = Distance / Speed
- Time = 1200 feet / 4 feet per second = 300 seconds
- Convert seconds to minutes:
- There are 60 seconds in a minute.
- Time (in minutes) = Time (in seconds) / 60
- Time = 300 seconds / 60 = 5 minutes
Supplemental Knowledge
To solve problems involving rate, time, and distance, you can use the formula:
\[\text { Distance} = \text { Rate} \times \text { Time} \]
In this scenario:
- Distance (\(D\)) = 1200 feet
- Rate (\(R\)) = 4 feet per second
We need to find the time (\(T\)) it takes to walk this distance. Rearranging the formula to solve for time gives us:
\[\text { Time} = \frac { \text { Distance} } { \text { Rate} } \]
Real-Life Connections
Calculating time using distance and speed calculations is an essential skill, whether for leisure activities such as walks and runs or more professional settings such as logistics where precise estimates of travel times are essential. Understanding these calculations will also be of use if your plans include any sort of travel; knowing exactly how much time each walk or run takes can help make planning your schedule more manageable and improve its outcome.
Consider you're training for a marathon: knowing your walking or running pace helps plan effective training sessions. Or perhaps organizing an event that involves walking tours; knowing exactly how long everything needs will ensure everything runs smoothly.
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For precise calculations like these involving rates and distances, try using UpStudy's Ratios Calculator. It’s designed to make solving these types of problems quick and easy!
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