TIBCO CCAT Word Problem 2

Question 1

A factory produces 240 widgets in 8 hours. If production speed increases by 25%, how many widgets are produced in 6 hours?

Accepted Answer

225

Answer

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?

Accepted Answer

$828

Answer

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?

Accepted Answer

7 hours

Answer

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?

Accepted Answer

7.5 days

Answer

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?

Accepted Answer

12% increase

Answer

1.40 × 0.80 = 1.12, which represents a 12% net increase.

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