Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 3

Question 1

A cyclist rides at a constant speed and covers 48 miles in 3 hours. How long, in hours, will it take the cyclist to cover 80 miles at the same speed?

Accepted Answer

5

Answer

Speed = 48 ÷ 3 = 16 mph; time = 80 ÷ 16 = 5 hours.

Question 2

Alloy A contains copper and zinc in a ratio of 3:7. How many grams of copper are in 200 grams of Alloy A?

Accepted Answer

60 g

Answer

Copper fraction = 3/(3+7) = 3/10; copper = (3/10) × 200 = 60 g.

Question 3

A store marks up all items by 40%. If the store's cost for a jacket is $75, what is the selling price?

Accepted Answer

$105

Answer

Selling price = $75 × 1.40 = $105.

Question 4

A water tank loses water at a rate of 0.5 gallons per minute. How many gallons does the tank lose in 2 hours and 30 minutes?

Accepted Answer

75

Answer

2 hr 30 min = 150 minutes; 0.5 × 150 = 75 gallons.

Question 5

Light travels at approximately 3 × 10⁸ meters per second. How many kilometers does light travel in 5 seconds? (1 km = 1,000 m)

Accepted Answer

1.5 × 10⁶ km

Answer

Distance in meters = 3×10⁸ × 5 = 1.5×10⁹ m; in km = 1.5×10⁹ ÷ 10³ = 1.5×10⁶ km.

Bluebook SAT Practice Test