Problem-Solving and Data AnalysisMediumRatios and rates
Problem-Solving and Data Analysis practice question
A car travels 150 miles in 2.5 hours. At this rate, how far will it travel in 4 hours?
- A. 210 miles
- B. 225 miles
- C. 240 milesCorrect
- D. 260 miles
Answer: C. 240 miles
Rate = 150 / 2.5 = 60 mph. In 4 hours: 60 × 4 = 240 miles. Find the unit rate first — it makes rate problems one step.
Why the other answers are wrong
- A. 210 miles
- 210 is what you get by adding just one more hour of travel (150 + 60); the trip is 1.5 hours longer than 2.5, so it's 150 + 90 = 240.
- B. 225 miles
- 225 doesn't come from any single slip on these numbers — it's a decoy. Find the unit rate first (150 ÷ 2.5 = 60 mph), then multiply by 4.
- D. 260 miles
- 260 would require a rate of 65 mph, but 150 ÷ 2.5 = 60 mph, so the answer is 60 × 4 = 240.
More Problem-Solving and Data Analysis questions
- Medium
The price of a stock rises from $40 to $50. What is the percent increase? - Medium
Based on the model, what score does the line predict for a student who studies 5 hours? - Medium
A population decreases from 250 to 200 over a year. What is the percent decrease? - Medium
If one person is chosen at random from those who prefer tea, what is the probability the person is under 30? - Medium
What is the difference between the mean and the median of this data set? - Medium
A machine fills 3 bottles every 4 seconds. How many seconds does it take to fill 27 bottles?
Not affiliated with the College Board. SAT is a trademark of the College Board.