Math Problem Statement
Match the correct time and distance for the given information. Additionally, mark (✓) for the correct unit conversion.
Solution
From the uploaded image, I can help analyze the problem step by step:
(a) Matching Time and Distance:
The task involves calculating and matching the correct time and distance based on given speed and time values.
Given:
-
Speed 1: 160 km/h, Distance = 120 km
- hours .
-
Speed 2: 85 km/h, Time = 1.5 hours
- .
Thus, the correct matching pairs:
- 45 minutes for 120 km.
- 127.5 km for 1.5 hours.
(b) Correct Unit Conversion:
(i) ✔️ Correct
- , so .
Let me know if you need further explanation or if you'd like to analyze another problem.
Further Questions You Could Explore:
- How is the relationship between speed, distance, and time derived?
- What are some common unit conversion errors and how to avoid them?
- Can you solve for distance if only time and speed are given?
- Why is unit conversion critical in solving real-world problems?
- How do you convert between metric and imperial units in speed?
Tip: Always double-check unit consistency when solving physics or math problems.
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Math Problem Analysis
Mathematical Concepts
Speed, Distance, and Time Relationships
Unit Conversion
Formulas
Time = Distance / Speed
Distance = Speed × Time
Theorems
-
Suitable Grade Level
Grades 7-9