TIBCO CCAT Word Problem 4 — Questions and Answers
Question 1: A flight covers 2,400 miles with a tailwind at 600 mph. The return trip against the wind takes 1 hour longer. What is the wind speed?
- 60 mph (Correct answer)
- 50 mph
- 75 mph
- 100 mph
Correct answer: 60 mph
Return time = 4 + 1 = 5 hrs; return speed = 2400/5 = 480 mph; wind = (600-480)/2 = 60 mph.
Question 2: A store sold 120 items on Monday, 15% more on Tuesday, and 10% fewer than Tuesday on Wednesday. How many items sold Wednesday?
- 124 (Correct answer)
- 132
- 108
- 138
Correct answer: 124
Tuesday: 120 × 1.15 = 138; Wednesday: 138 × 0.90 = 124.2 ≈ 124.
Question 3: A contractor charges $50/hour for labor and $30 per unit of material. A job requiring 8 hours and 15 units costs how much?
- $850 (Correct answer)
- $750
- $900
- $800
Correct answer: $850
Labor: 8 × $50 = $400; Materials: 15 × $30 = $450; Total = $850.
Question 4: John is 3 times as old as his daughter now. In 12 years, he will be twice her age. How old is John now?
- 36 (Correct answer)
- 24
- 48
- 30
Correct answer: 36
Let daughter = d; 3d + 12 = 2(d + 12); d = 12; John = 3 × 12 = 36.
Question 5: A school has 800 students. If 60% are female and 25% of females play sports, how many females play sports?
- 120 (Correct answer)
- 200
- 150
- 80
Correct answer: 120
Females: 800 × 0.60 = 480; athletes: 480 × 0.25 = 120.
Question 6: A ship travels upstream at 12 mph and downstream at 18 mph. What is the river current speed?
- 3 mph (Correct answer)
- 6 mph
- 5 mph
- 4 mph
Correct answer: 3 mph
Current = (downstream – upstream) / 2 = (18 – 12) / 2 = 3 mph.
Question 7: A project takes 20 days with 6 workers. After 10 days, 2 workers leave. How many additional days to finish?
- 15 days (Correct answer)
- 12 days
- 10 days
- 20 days
Correct answer: 15 days
Half done after 10 days; remaining work = 10 × 6 = 60 worker-days; 60 ÷ 4 = 15 days.
TIBCO CCAT Word Problem 4
A flight covers 2,400 miles with a tailwind at 600 mph.
The return trip against the wind takes 1 hour longer.
What is the wind speed?