To solve this problem, let's break it down into a step-by-step solution:
1. Understand the Given Information:
- The car consumes 90 liters of gasoline in 3 hours.
- We want to find out how much gasoline the car will consume in a 31-hour trip.
2. Determine the Rate of Gasoline Consumption:
- The rate of gasoline consumption is how much gasoline the car uses per hour.
- To find this rate, divide the total gasoline consumed by the total time:
[tex]\[
\text{Rate of Consumption} = \frac{\text{Gasoline Consumed}}{\text{Time Consumed}} = \frac{90 \text{ L}}{3 \text{ h}}
\][/tex]
3. Calculate the Rate of Consumption:
- Perform the division:
[tex]\[
\frac{90 \text{ L}}{3 \text{ h}} = 30 \text{ L/h}
\][/tex]
- Therefore, the car consumes gasoline at a rate of 30 liters per hour.
4. Determine the Total Gasoline Used for a 31-Hour Trip:
- Use the rate of consumption to find the total gasoline used in 31 hours.
- Multiply the rate of consumption by the trip time:
[tex]\[
\text{Gasoline Used} = \text{Rate of Consumption} \times \text{Trip Time} = 30 \text{ L/h} \times 31 \text{ h}
\][/tex]
5. Calculate the Total Gasoline Used:
- Perform the multiplication:
[tex]\[
30 \text{ L/h} \times 31 \text{ h} = 930 \text{ L}
\][/tex]
- Therefore, the car will use 930 liters of gasoline for a 31-hour trip.
Conclusion:
- The rate of gasoline consumption is 30 liters per hour.
- The total amount of gasoline used for a 31-hour trip is 930 liters.
