Bluebook SAT Test SAT Word Problems Practice 1 — Questions and Answers
Question 1: A train travels at 60 miles per hour for 2.5 hours and then at 80 miles per hour for 1.5 hours. What is the total distance, in miles, the train traveled?
- 230
- 260
- 270 (Correct answer)
- 290
Correct answer: 270
Total distance = (60 × 2.5) + (80 × 1.5) = 150 + 120 = 270 miles.
Question 2: A store sells notebooks for $3 each and pens for $1.50 each. Maria buys a total of 10 items and spends exactly $21. How many notebooks did she buy?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
Let n = notebooks; n + p = 10 and 3n + 1.5p = 21. Substituting p = 10 − n gives 1.5n = 6, so n = 4.
Question 3: A solution is 20% salt by weight. How many grams of salt must be added to 200 grams of this solution to make it 25% salt?
- 10
- 12
- 13â…“ (Correct answer)
- 15
Correct answer: 13â…“
Initial salt = 40 g. Setting (40 + x)/(200 + x) = 0.25 gives 0.75x = 10, so x = 13â…“ grams.
Question 4: The sum of three consecutive even integers is 78. What is the largest of the three integers?
- 24
- 26
- 28 (Correct answer)
- 30
Correct answer: 28
Let the integers be n, n+2, n+4; then 3n + 6 = 78, so n = 24, and the largest is 24 + 4 = 28.
Question 5: Carlos is 4 times as old as his daughter. In 6 years, he will be 3 times as old as she will be. How old is Carlos now?
- 36
- 40
- 48 (Correct answer)
- 52
Correct answer: 48
Let daughter's age = d; Carlos = 4d. In 6 years: 4d + 6 = 3(d + 6) → d = 12. Carlos = 48.
Question 6: A rectangle's length is 3 more than twice its width. If its perimeter is 48 cm, what is the width in centimeters?
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
Let width = w; length = 2w + 3. 2(w + 2w + 3) = 48 → 6w + 6 = 48 → w = 7.
Question 7: A car depreciates in value by 15% each year. If it is currently worth $20,000, what will its approximate value be after 2 years?
- $14,000
- $14,450 (Correct answer)
- $15,500
- $17,000
Correct answer: $14,450
After year 1: $20,000 × 0.85 = $17,000. After year 2: $17,000 × 0.85 = $14,450.
Bluebook SAT Test SAT Word Problems Practice 1
A train travels at 60 miles per hour for 2.5 hours and then at 80 miles per hour for 1.5 hours.
What is the total distance, in miles, the train traveled?