Math Problem Statement

A car uses 16 liters of petrol to travel 130 km. Determine how far it could travel on 40 liters of petrol. How much petrol will the car use to travel 504 km?

Solution

The image contains a word problem about fuel consumption and two questions related to it. Let's break down the problem and solve it step by step.

Problem:

  • A car uses 16 liters of petrol to travel 130 km.
  • The questions ask:
    1. How far could it travel on 40 liters of petrol?
    2. How much petrol will the car use to travel 504 km?

Given Data:

  • 16 liters of petrol for 130 km.

Solution:

  1. How far could it travel on 40 liters of petrol?

    We can use the ratio method: Distance=(130 km16 liters)×40 liters\text{Distance} = \left(\frac{130 \text{ km}}{16 \text{ liters}}\right) \times 40 \text{ liters} Calculate the distance: 13016=8.125 km per liter\frac{130}{16} = 8.125 \text{ km per liter} Now, for 40 liters: 8.125×40=325 km8.125 \times 40 = 325 \text{ km}

  2. How much petrol will the car use to travel 504 km?

    Again, using the ratio method: Liters of petrol=(16 liters130 km)×504 km\text{Liters of petrol} = \left(\frac{16 \text{ liters}}{130 \text{ km}}\right) \times 504 \text{ km} Calculate the petrol required: 16130=0.12308 liters per km\frac{16}{130} = 0.12308 \text{ liters per km} Now, for 504 km: 0.12308×504=62 liters0.12308 \times 504 = 62 \text{ liters}

Summary of Answers:

  1. The car can travel 325 km on 40 liters of petrol.
  2. The car will use 62 liters of petrol to travel 504 km.

Would you like more details, or do you have any questions?


Here are some related questions:

  1. What would be the fuel consumption rate in liters per kilometer?
  2. How far can the car travel on 20 liters of petrol?
  3. How much petrol is needed to travel 260 km?
  4. What would be the cost of the petrol needed for 504 km if petrol costs $1.50 per liter?
  5. How would a change in the fuel consumption rate affect the answers?

Tip: When dealing with unit rates (like km per liter), always try to isolate the unit rate first to simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportionality

Formulas

Distance = (Distance per liter) * Number of liters
Petrol needed = (Liters per kilometer) * Distance

Theorems

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Suitable Grade Level

Grades 5-7