OAR OAR Math Skills: Word Problems 2

Question 1

A ship travels 240 nautical miles in 8 hours. If it increases its speed by 50%, how long will it take to travel the same distance?

Accepted Answer

5 hours 20 minutes

Answer

Original speed = 30 knots; new speed = 45 knots; time = 240 / 45 = 5.33 hours = 5 hours 20 minutes.

Question 2

A sailor earns $3,200 per month. After a 15% raise, what is his new monthly salary?

Accepted Answer

$3,680

Answer

Raise = 15% of $3,200 = $480; new salary = $3,200 + $480 = $3,680.

Question 3

A fuel tank holds 450 gallons. A vessel uses 37.5 gallons per hour. If the tank starts full, how many hours until it is exactly one-third full?

Accepted Answer

8 hours

Answer

One-third of 450 = 150 gallons; gallons to consume = 300; 300 / 37.5 = 8 hours.

Question 4

Three crew members share a bonus equally. After each pays 20% in taxes, each person takes home $960. What was the total bonus before taxes?

Accepted Answer

$3,600

Answer

Pre-tax share per person = $960 / 0.80 = $1,200; total bonus = 3 x $1,200 = $3,600.

Question 5

A rectangular deck is 48 feet long and 22 feet wide. If non-skid coating costs $1.75 per square foot, what is the total cost?

Accepted Answer

$1,848

Answer

Area = 48 x 22 = 1,056 sq ft; cost = 1,056 x $1.75 = $1,848.

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