Mixing Solutions & Distance Problems: 8th Grade Quiz

A farmer has two types of fertilizer: Type A costs $5 per bag and Type B costs $8 per bag. If he buys a total of 10 bags and spends $56, how many bags of each type did he buy?

• 8 bags of Type A and 2 bags of Type B

• 7 bags of Type A and 3 bags of Type B

• 6 bags of Type A and 4 bags of Type B

• 5 bags of Type A and 5 bags of Type B

A solution is made by mixing 3 liters of a 30% salt solution with x liters of a 10% salt solution. If the final mixture is 20% salt, how much of the 10% solution is used?

• 1 liter

• 2 liters

• 3 liters

• 5 liters

Two trains leave a station at the same time. Train A travels at 60 miles per hour, and Train B travels at 90 miles per hour. How far apart will they be after 2 hours?

• 60 miles

• 120 miles

• 30 miles

• 150 miles

A recipe requires a mixture of 2 parts of juice to 3 parts of water. If you want to make 25 liters of the mixture, how much juice and how much water do you need?

• 10 liters of juice and 15 liters of water

• 5 liters of juice and 20 liters of water

• 15 liters of juice and 10 liters of water

• 12 liters of juice and 13 liters of water

A cyclist travels 15 miles in 1 hour and then 25 miles in 2 hours. What is the average speed of the cyclist for the entire trip?

• 13.33 miles per hour

• 20 miles per hour

• 10 miles per hour

• 15 miles per hour

A chemist has a 40% acid solution and a 70% acid solution. If she wants to create 10 liters of a 50% acid solution, how many liters of each solution does she need?

• 2 liters of 40% solution and 8 liters of 70% solution

• 5 liters of 40% solution and 5 liters of 70% solution

• 3 liters of 40% solution and 7 liters of 70% solution

• 6 liters of 40% solution and 4 liters of 70% solution

Two friends are walking towards each other from a distance of 100 miles apart. One walks at 3 miles per hour and the other at 5 miles per hour. How long will it take for them to meet?

• 15 hours

• 8 hours

• 10 hours

• 12.5 hours

A tank contains 50 liters of water. If 20 liters of a 10% sugar solution is added, what will be the concentration of sugar in the new mixture?

• 5%

• 2.857%

• 1.5%

• 10%

A boat travels upstream at 10 miles per hour and downstream at 15 miles per hour. If it takes 3 hours to travel downstream and return upstream, what is the distance traveled each way?

• 18 miles

• 30 miles

• 24 miles

• 12 miles