TIBCO CCAT Word Problem 2 — Questions and Answers
Question 1: A factory produces 240 widgets in 8 hours. If production speed increases by 25%, how many widgets are produced in 6 hours?
- 225 (Correct answer)
- 250
- 225
- 225
Correct answer: 225
New rate = 240/8 × 1.25 = 37.5 widgets/hour; 37.5 × 6 = 225.
Question 2: Sarah earns $18 per hour and works 40 hours a week. If she gets a 15% raise, what is her new weekly salary?
- $828 (Correct answer)
- $720
- $810
- $756
Correct answer: $828
New rate = $18 × 1.15 = $20.70; $20.70 × 40 = $828.
Question 3: A train travels 360 miles at 90 mph, then 180 miles at 60 mph. What is the total travel time?
- 7 hours (Correct answer)
- 6 hours
- 7.5 hours
- 8 hours
Correct answer: 7 hours
Segment 1: 360/90 = 4 hours; Segment 2: 180/60 = 3 hours; Total = 7 hours.
Question 4: If 5 workers can paint a building in 12 days, how many days will it take 8 workers to paint the same building?
- 7.5 days (Correct answer)
- 8 days
- 6 days
- 10 days
Correct answer: 7.5 days
Total work = 5 × 12 = 60 worker-days; 60 ÷ 8 = 7.5 days.
Question 5: A store marks up items by 40% then offers a 20% discount. What is the net percentage change from original price?
- 12% increase (Correct answer)
- 20% increase
- 8% increase
- No change
Correct answer: 12% increase
1.40 × 0.80 = 1.12, which represents a 12% net increase.
Question 6: Tom has twice as many apples as Lisa. Together they have 48 apples. How many does Tom have?
- 32 (Correct answer)
- 16
- 24
- 36
Correct answer: 32
If Lisa has x, Tom has 2x; x + 2x = 48, so x = 16 and Tom has 32.
Question 7: A tank fills in 4 hours and drains in 6 hours when both pipes are open simultaneously. How long to fill the tank with both pipes open?
- 12 hours (Correct answer)
- 10 hours
- 8 hours
- 5 hours
Correct answer: 12 hours
Net fill rate = 1/4 – 1/6 = 1/12 per hour; tank fills in 12 hours.
TIBCO CCAT Word Problem 2
A factory produces 240 widgets in 8 hours.
If production speed increases by 25%, how many widgets are produced in 6 hours?