Math Problem Statement

Car usage is 9L to 100kms, your tank holds 68 litres how many tanks would you use to drive 1500kms

Solution

To solve this, we need to calculate how many liters of fuel the car would use for 1500 kilometers, then determine how many tanks of fuel that corresponds to.

  1. Fuel consumption per kilometer: The car uses 9 liters per 100 kilometers. So, per kilometer, the car consumes:

    9 liters100 kilometers=0.09 liters per kilometer\frac{9 \text{ liters}}{100 \text{ kilometers}} = 0.09 \text{ liters per kilometer}

  2. Fuel consumption for 1500 kilometers: The total fuel needed for 1500 kilometers is:

    0.09×1500=135 liters0.09 \times 1500 = 135 \text{ liters}

  3. How many tanks would be needed: Since one tank holds 68 liters, we calculate how many tanks are needed for 135 liters:

    135681.985 tanks\frac{135}{68} \approx 1.985 \text{ tanks}

    Therefore, you would need approximately 2 tanks to drive 1500 kilometers.

Would you like further details or explanations?

Here are some related questions:

  1. How can fuel efficiency be improved to reduce consumption?
  2. How does changing speed affect fuel usage?
  3. How do different terrains (e.g., hills vs. flat roads) impact fuel consumption?
  4. What impact does carrying extra weight have on fuel consumption?
  5. How does the fuel efficiency of diesel engines compare to gasoline engines?

Tip: Regular maintenance, like checking tire pressure and replacing air filters

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Division
Multiplication

Formulas

Fuel consumption per kilometer = Total liters / Total kilometers
Total fuel needed = Fuel consumption per kilometer × Distance in kilometers
Number of tanks needed = Total fuel needed / Tank capacity

Theorems

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Suitable Grade Level

Grades 6-8