A Vehicle Has The Ability To Carry Up To 1000 Kg. Whereas The Driver Weighs 88kg And His Assistant Weighs 79kg How Many Trips Should Be Made To Carry 1600 Sugar Packages Of 5 Kg Each? 2 Trips 4 Trips 8 Trips 9
Introduction
In this article, we will explore a mathematical problem that involves calculating the number of trips required to carry a certain amount of sugar packages. The problem states that a vehicle has the ability to carry up to 1000 kg, and the driver and his assistant weigh a total of 167 kg. We are asked to determine how many trips should be made to carry 1600 sugar packages, each weighing 5 kg.
Understanding the Problem
To solve this problem, we need to understand the key components involved. The vehicle's carrying capacity is 1000 kg, and the total weight of the driver and his assistant is 167 kg. This means that the maximum weight the vehicle can carry is 1000 - 167 = 833 kg.
Calculating the Total Weight of Sugar Packages
The total weight of the sugar packages can be calculated by multiplying the number of packages by the weight of each package. In this case, we have 1600 sugar packages, each weighing 5 kg. Therefore, the total weight of the sugar packages is:
1600 x 5 kg = 8000 kg
Determining the Number of Trips
Now that we know the total weight of the sugar packages, we can determine the number of trips required to carry them. Since the vehicle can carry a maximum of 833 kg, we need to divide the total weight of the sugar packages by the vehicle's carrying capacity to find the number of trips.
8000 kg ÷ 833 kg = 9.62
Since we cannot make a fraction of a trip, we need to round up to the nearest whole number. Therefore, we need to make 9 trips to carry the 1600 sugar packages.
Conclusion
In conclusion, we have calculated that 9 trips are required to carry 1600 sugar packages, each weighing 5 kg. This is because the vehicle's carrying capacity is 833 kg, and the total weight of the sugar packages is 8000 kg. By dividing the total weight by the vehicle's carrying capacity, we can determine the number of trips required to carry the sugar packages.
Discussion
This problem involves basic mathematical concepts such as multiplication and division. It also requires an understanding of the key components involved, including the vehicle's carrying capacity and the total weight of the sugar packages. By breaking down the problem into smaller components and using mathematical formulas, we can determine the number of trips required to carry the sugar packages.
Mathematical Formulas
The following mathematical formulas were used to solve this problem:
- Total weight of sugar packages = Number of packages x Weight of each package
- Number of trips = Total weight of sugar packages ÷ Vehicle's carrying capacity
Real-World Applications
This problem has real-world applications in various industries, including logistics and transportation. By understanding how to calculate the number of trips required to carry a certain amount of cargo, companies can optimize their delivery routes and reduce costs.
Final Thoughts
Q: What is the maximum weight the vehicle can carry?
A: The maximum weight the vehicle can carry is 1000 kg, minus the weight of the driver and his assistant, which is 167 kg. Therefore, the maximum weight the vehicle can carry is 1000 - 167 = 833 kg.
Q: How do I calculate the total weight of the sugar packages?
A: To calculate the total weight of the sugar packages, you need to multiply the number of packages by the weight of each package. In this case, we have 1600 sugar packages, each weighing 5 kg. Therefore, the total weight of the sugar packages is:
1600 x 5 kg = 8000 kg
Q: How do I determine the number of trips required to carry the sugar packages?
A: To determine the number of trips required to carry the sugar packages, you need to divide the total weight of the sugar packages by the vehicle's carrying capacity. In this case, the total weight of the sugar packages is 8000 kg, and the vehicle's carrying capacity is 833 kg. Therefore, the number of trips required is:
8000 kg ÷ 833 kg = 9.62
Since we cannot make a fraction of a trip, we need to round up to the nearest whole number. Therefore, we need to make 9 trips to carry the 1600 sugar packages.
Q: What if the vehicle's carrying capacity is different?
A: If the vehicle's carrying capacity is different, you need to adjust the calculation accordingly. For example, if the vehicle's carrying capacity is 1000 kg, and the driver and his assistant weigh 167 kg, the maximum weight the vehicle can carry is 1000 - 167 = 833 kg. If the total weight of the sugar packages is 8000 kg, the number of trips required is:
8000 kg ÷ 833 kg = 9.62
Q: Can I use a different unit of measurement?
A: Yes, you can use a different unit of measurement, such as pounds or tons. However, you need to make sure that you are using the same unit of measurement for the vehicle's carrying capacity and the weight of the sugar packages.
Q: What if I have a different number of sugar packages?
A: If you have a different number of sugar packages, you need to adjust the calculation accordingly. For example, if you have 1200 sugar packages, each weighing 5 kg, the total weight of the sugar packages is:
1200 x 5 kg = 6000 kg
The number of trips required is:
6000 kg ÷ 833 kg = 7.21
Since we cannot make a fraction of a trip, we need to round up to the nearest whole number. Therefore, we need to make 8 trips to carry the 1200 sugar packages.
Q: Can I use a calculator to solve this problem?
A: Yes, you can use a calculator to solve this problem. Simply enter the total weight of the sugar packages and the vehicle's carrying capacity, and the calculator will give you the number of trips required.
Q: What if I have a different type of cargo?
A: If you have a different type of cargo, you need to adjust the calculation accordingly. For example, if you have a different weight or size of cargo, you need to use the correct unit of measurement and adjust the calculation accordingly.
Conclusion
In conclusion, this problem requires a basic understanding of mathematical concepts and the ability to apply them to real-world scenarios. By breaking down the problem into smaller components and using mathematical formulas, we can determine the number of trips required to carry the sugar packages.