EDPT Ratio, Rate, and Proportion — Questions and Answers
Question 1: A car travels 180 miles in 3 hours. At the same rate, how far will it travel in 5 hours?
- 250 miles
- 270 miles
- 300 miles (Correct answer)
- 360 miles
Correct answer: 300 miles
Rate = 180 ÷ 3 = 60 mph. Distance in 5 hours = 60 × 5 = 300 miles.
Question 2: A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 8 cups of flour, how many cups of sugar are needed?
- 10
- 11
- 12 (Correct answer)
- 14
Correct answer: 12
Set up the proportion: 2/3 = 8/x → x = (8 × 3) ÷ 2 = 24 ÷ 2 = 12 cups of sugar.
Question 3: If 5 workers can complete a job in 12 days, how many days will it take 10 workers to complete the same job (assuming constant work rate)?
- 4 days
- 5 days
- 6 days (Correct answer)
- 8 days
Correct answer: 6 days
Total work = 5 × 12 = 60 worker-days. With 10 workers: 60 ÷ 10 = 6 days.
Question 4: A map has a scale of 1 inch = 25 miles. Two cities are 3.5 inches apart on the map. What is their actual distance?
- 75 miles
- 80 miles
- 87.5 miles (Correct answer)
- 100 miles
Correct answer: 87.5 miles
Actual distance = 3.5 × 25 = 87.5 miles.
Question 5: The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many students are in the class total?
- 32
- 40
- 56
- 64 (Correct answer)
Correct answer: 64
If 3 parts = 24 boys, then 1 part = 8. Girls = 5 × 8 = 40. Total = 24 + 40 = 64 students.
Question 6: A train covers 240 km at 80 km/h and then 180 km at 60 km/h. What is the total travel time?
- 5 hours
- 5.5 hours
- 6 hours (Correct answer)
- 6.5 hours
Correct answer: 6 hours
Time₁ = 240 ÷ 80 = 3 hours. Time₂ = 180 ÷ 60 = 3 hours. Total = 3 + 3 = 6 hours.
EDPT Ratio, Rate, and Proportion
A car travels 180 miles in 3 hours.
At the same rate, how far will it travel in 5 hours?