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College Prep Word Problems

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Carlo drove for 3 hours in fog and then increased his speed by 30 miles per hour and drove 6 more hours. If his total trip was 540 miles, then what was his speed in the fog?

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4 years ago

Date created

Mar 1, 2020

Cards (20)

Section 1

(20 cards)

Carlo drove for 3 hours in fog and then increased his speed by 30 miles per hour and drove 6 more hours. If his total trip was 540 miles, then what was his speed in the fog?

Front

40 mph

Back

Sharon wants to make $4000 for herself from the sale of her car. If she pays a broker 8% commission to sell the car, how much should she sell it for?

Front

$4347.83

Back

A freight train takes 1 1/4 hours to get to the city; a passenger train averaging 40 mph faster takes only 45 minutes to cover the same distance. What is the average speed of the passenger train?

Front

100 mph

Back

Bob invested some money at 5% simple interest and some money at 9% simple interest. The amount invested at the higher rate was twice the amount invested at the lower rate. If the total interest on the investments for 1 year was $920, then how much did he invest at each rate?

Front

$4000 at 5%, $8000 at 9%

Back

Armond has 3.75 gallons of a 5% alcohol solution in his lab. How much 13% alcohol solution should he mix with it to obtain a solution that contains 8% alcohol?

Front

2.25 gal of 13%

Back

Louise walked for 2 hours and then ran for 1.5 hours. If she runs twice as fast as she walks and the total trip was 20 miles, then how fast does she run?

Front

8 mph

Back

Sonia is selling her house through a real estate agent whose commission is 6% of the selling price. What should be the selling price so that Sonia can get $84,600?

Front

$90,000

Back

Danny invested some money at 3% simple interest and some money at 7% simple interest. The amount invested at the higher rate was $3000 more than the amount invested at the lower rate. If the total interest on the investments for 1 year was $810, then how much did he invest at each rate?

Front

$6000 at 3%, $9000 at 7%

Back

Samantha lent her brother some money at 9% simple interest and her sister one-half as much money at 16% simple interest. If she received a total of 34 cents in interest, then how much did she lend to each one?

Front

Brother $2, Sister $1

Back

Fabian plans to fence a rectangular area for rabbits alongside his house. So he will use 14 ft of fencing to fence only three sides of the rectangle. If the side that runs parallel to the house is 2 ft longer than either of the other two sides, then what are the dimensions of the rectangular area?

Front

6 ft x 4 ft

Back

Karl wants to get $80,000 for his house. The real estate agent charges 8% of the selling price for selling the house. What should the selling price be?

Front

$86,957

Back

If the perimeter of a rectangular closet is 16 feet and the length is 2 feet longer than the width, then what are the length and width?

Front

Length 5 ft, width 3 ft

Back

If the perimeter of a rectangular piece of glass is 26 in and the length is 4 in longer than twice the width, then what are the length and width?

Front

10 in x 3 in

Back

If the perimeter of a rectangular courtyard is 34 yd and the length is 2 yd longer than twice the width, then what are the length and width?

Front

length 12 yd, width 5 yd

Back

Jennifer drove for 3 hours and 30 minutes in a heavy thunderstorm. When the skies cleared, she increased her speed by 35 mph and drove for 4 more hours. If she traveled a total of 365 miles, then how fast did she travel during the thunderstorm?

Front

30 mph

Back

Martha sells hot tamales at a sidewalk stand. Her total receipts including the 5% sales tax were $915.60. What amount of sales tax did she collect?

Front

$43.60

Back

Timmy bought a boat for $9377.50, including 10% sales tax. What was the price of the boat before tax?

Front

$8525

Back

How many liters of a 10% alcohol solution should be mixed with 12 liters of a 20% alcohol solution to obtain a 14% alcohol solution?

Front

18 liters

Back

How many gallons of 5% acid solution should be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution?

Front

13 1/3 gallons

Back

Bill sells t-shirts at a stand on the corner. His total receipts, including tax, yesterday were $517.75. If the tax rate is 9%, how much tax did he collect yesterday?

Front

$42.75

Back