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Quantitative: Algebraic Word Problems Flashcards

7 cards from real GMAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative: Algebraic Word Problems flashcards as text

  1. A train travels 240 miles at a constant speed. If the speed had been 20 mph faster, the trip would have taken 1 hour less. What was the original speed?

    Answer: 40 mph

    240/x − 240/(x+20) = 1 gives x² + 20x − 4800 = 0, so x = 40.

  2. The sum of two numbers is 30 and their difference is 8. What is the larger number?

    Answer: 19

    Adding the equations gives 2x = 38, so the larger number is 19.

  3. A number increased by 25% equals 80. What is the number?

    Answer: 64

    1.25x = 80, so x = 64.

  4. Tom is twice as old as Jerry. In 6 years, the sum of their ages will be 42. How old is Tom now?

    Answer: 20

    2x + 6 + x + 6 = 42 gives x = 10, so Tom is 20.

  5. A rectangle's length is 3 more than twice its width. If the perimeter is 36, what is the width?

    Answer: 5

    2(2w+3) + 2w = 36 gives 6w = 30, so w = 5.

  6. If 3 pencils and 2 pens cost $13, and 2 pencils and 3 pens cost $12, what is the cost of one pen?

    Answer: $2

    Solving the system gives pencil = $3 and pen = $2.

  7. A worker can paint a fence in 6 hours. With a helper, the job takes 4 hours. How long would the helper take alone?

    Answer: 12 hours

    1/6 + 1/h = 1/4 gives 1/h = 1/12, so h = 12.