Question 1

A bank offers a simple interest loan of $5000 at an annual rate of 7% for 3 years. What is the total interest paid at the end of the loan period?

Accepted Answer

$$\1050$

Question 2

A chemist needs to mix a 20% saline solution with a 50% saline solution to obtain 10 liters of a 30% saline solution. How many liters of the 20% solution should be used?

Accepted Answer

$$5$$ liters

Question 3

A car travels 180 miles in 3 hours. What is its average speed?

Accepted Answer

$$60$$ miles per hour

Question 4

If $$I = Prt is $$the simple interest formula, what is the value of $$t if$$ $$I = 120$$, $$P = 1000$$, and $$r = 0.06$$?

Accepted Answer

$$t = 2$$

Question 5

A train leaves a station traveling at 50 mph. Two hours later, a second train leaves the same station on a parallel track traveling at 70 mph. How long after the second train leaves will it catch up to the first train?

Accepted Answer

$$4$$ hours

Question 6

A rectangular garden has a length that is four times its width. If the perimeter is 60 meters, what is the width?

Accepted Answer

$$6$$ meters

Question 7

A plumber can complete a job in 8 hours. His apprentice can do the same job in 12 hours. How long will it take them to complete the job working together?

Accepted Answer

$$5$$ hours

Question 8

A pharmacist needs to prepare 100 mL of a 25% alcohol solution by mixing a 10% alcohol solution with a 40% alcohol solution. How many mL of the 40% solution should be used?

Accepted Answer

$$50 mL$$

Question 9

A cyclist travels 30 miles at a constant speed of 15 miles per hour. How long does the trip take?

Accepted Answer

$$2$$ hours

Question 10

A loan of $$\2000$ is taken out at a simple interest rate of 5$$\%$ per year. If the loan is paid back after 18 months, what is the total amount paid back?

Accepted Answer

$$\2150$

Question 11

A boat travels 24 miles upstream and then returns downstream. The river current is 3 mph. If the total trip takes 6 hours, what is the boat's speed in still water?

Accepted Answer

$$9$$ mph

Question 12

A company wants to mix nuts costing $$\4$ per pound with nuts costing $$\$$7$$ per pound to make a 20-pound mixture costing $$\5$ per pound. How many pounds of the $$\$$7$$ nuts should be used?

Accepted Answer

$$\20/3$

Question 13

A job can be completed by Worker A in 5 hours and by Worker B in 10 hours. If they work together, how long will it take to finish the job?

Accepted Answer

$$3.33$$ hours

Question 14

A student borrows $$\1200$ at a simple interest rate of 8$$\%$ per year. How much interest will be owed after 9 months?

Accepted Answer

$$\72$

Question 15

A car rental company charges a flat fee of $$\30$ plus $$\$$0.20$$ per mile driven. If a customer pays $$\50$, how many miles did they drive?

Accepted Answer

$$100$$ miles

Question 16

A rectangular field is 3 times as long as it is wide. If the area is $$300$$ square meters, what is the width?

Accepted Answer

$$10$$ meters

Question 17

A train travels 120 miles at a certain speed. If the speed is increased by 10 mph, the trip takes 1 hour less. What was the original speed?

Accepted Answer

$$30$$ mph

Question 18

A solution is 40% alcohol. How many liters of pure water must be added to 10 liters of this solution to reduce the concentration to 25%?

Accepted Answer

$$6$$ liters

Question 19

A painter can paint a house in 12 hours. If he works for 4 hours and then his assistant joins him, and together they finish the job in 4 more hours, how long would it take the assistant alone to paint the house?

Accepted Answer

$$24$$ hours

Question 20

A pharmacist needs to mix a 10% saline solution with a 50% saline solution to obtain 20 liters of a 25% saline solution. How many liters of the 10% solution should be used?

Accepted Answer

$$12.5$$ liters

Problem Solving and Applications: Interest, Mixture, Uniform Motion, and Job Problems

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