TIBCO CCAT Word Problem 4

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?

Accepted Answer

60 mph

Answer

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?

Accepted Answer

124

Answer

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?

Accepted Answer

$850

Answer

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?

Accepted Answer

36

Answer

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?

Accepted Answer

120

Answer

Females: 800 × 0.60 = 480; athletes: 480 × 0.25 = 120.

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