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:

  1. Speed 1: 160 km/h, Distance = 120 km

    • Time=DistanceSpeed=120160\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{120}{160}
    • Time=0.75\text{Time} = 0.75 hours =45 minutes= 45 \text{ minutes}.
  2. Speed 2: 85 km/h, Time = 1.5 hours

    • Distance=Speed×Time=85×1.5=127.5km\text{Distance} = \text{Speed} \times \text{Time} = 85 \times 1.5 = 127.5 \, \text{km}.

Thus, the correct matching pairs:

  • 45 minutes for 120 km.
  • 127.5 km for 1.5 hours.

(b) Correct Unit Conversion:

(i) 0.35l/km=350ml/km0.35 \, l/km = 350 \, ml/km ✔️ Correct

  • 1l=1000ml1 \, l = 1000 \, ml, so 0.35×1000=350ml0.35 \times 1000 = 350 \, ml.

Let me know if you need further explanation or if you'd like to analyze another problem.


Further Questions You Could Explore:

  1. How is the relationship between speed, distance, and time derived?
  2. What are some common unit conversion errors and how to avoid them?
  3. Can you solve for distance if only time and speed are given?
  4. Why is unit conversion critical in solving real-world problems?
  5. 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

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Suitable Grade Level

Grades 7-9