Math Problem Statement
Solution
I see the image you've uploaded contains questions related to ratios, rates, and speed problems. I'll transcribe and help with solving them based on what is visible in the image. Here’s the breakdown:
Problem 1:
a) A car travels 240 km in 3 hours. Find her average speed.
Solution: The average speed is found using the formula:
Problem 2:
b) If a train travels at the speed of 30 m/s, how many kilometers does it travel in 1 hour?
Solution: Convert m/s to km/h: So, in 1 hour, the train travels 108 km.
Problem 3:
c) A car travels at a rate of 80 m/min. How many liters of fuel does it use to travel 480 km?
Solution: I need more information to solve this question, such as the fuel consumption rate (e.g., liters per km). Please provide that detail.
I can continue solving the rest of the questions. Let me know if you'd like more details on any of these problems or if you'd like to proceed with the remaining questions! Also, here are 5 related questions you can explore further:
- How do you convert m/s to km/h?
- What is the relationship between speed, distance, and time?
- How can fuel efficiency be calculated based on distance and fuel consumption?
- How do changes in speed affect travel time for fixed distances?
- What unit conversions are most important when dealing with rates and ratios?
Tip:
Always ensure units are consistent when calculating rates or averages!
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Math Problem Analysis
Mathematical Concepts
Ratios
Rates
Speed calculations
Unit conversions
Formulas
Speed = Distance / Time
m/s to km/h conversion
Rate = Distance / Time
Theorems
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Suitable Grade Level
Grades 7-9
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