https://file.aiquickdraw.com/mathbot/file/17254549924418zd7y1yg.jpg

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:
   \[
   \text{Distance} = \left(\frac{130 \text{ km}}{16 \text{ liters}}\right) \times 40 \text{ liters}
   \]
   Calculate the distance:
   \[
   \frac{130}{16} = 8.125 \text{ km per liter}
   \]
   Now, for 40 liters:
   \[
   8.125 \times 40 = 325 \text{ km}
   \]

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

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

### 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.

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?

Learn how to calculate the distance a car can travel on a given amount of petrol and determine the amount of petrol needed for a specific distance. This problem involves ratios and proportionality, suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation