College Math Placement Test College Math Placement Test Word Problems 1 — Questions and Answers
Question 1: A car travels 240 miles in 4 hours. At the same speed, how far will it travel in 7 hours?
- 360 miles
- 400 miles
- 420 miles (Correct answer)
- 480 miles
Correct answer: 420 miles
Speed = 240/4 = 60 mph, so distance in 7 hours = 60×7 = 420 miles.
Question 2: If 5 workers complete a job in 12 days, how many days will 10 workers take?
- 3
- 6 (Correct answer)
- 8
- 24
Correct answer: 6
Total work = 5×12 = 60 worker-days; with 10 workers, days = 60/10 = 6.
Question 3: A shirt sells for $45 after a 25% discount. What was the original price?
- $54.00
- $56.25
- $60.00 (Correct answer)
- $67.50
Correct answer: $60.00
The sale price is 75% of the original, so original = 45 ÷ 0.75 = $60.
Question 4: Two trains 420 miles apart travel toward each other at 60 mph and 80 mph. In how many hours will they meet?
- 2.5
- 3 (Correct answer)
- 3.5
- 4
Correct answer: 3
Combined speed = 60+80 = 140 mph; time = 420/140 = 3 hours.
Question 5: A 20-liter mixture is 30% acid. How many liters of pure acid must be added to make it 50% acid?
- 6
- 8 (Correct answer)
- 10
- 12
Correct answer: 8
Initial acid = 6L; solving (6+x)/(20+x) = 0.50 gives x = 8 liters.
Question 6: A $2,000 principal earns simple interest at 5% per year. What is the total amount after 3 years?
- $2,200
- $2,300 (Correct answer)
- $2,400
- $2,315.25
Correct answer: $2,300
Interest = 2000×0.05×3 = $300, so total = $2,000 + $300 = $2,300.
College Math Placement Test College Math Placement Test Word Problems 1
A car travels 240 miles in 4 hours.
At the same speed, how far will it travel in 7 hours?