Bluebook SAT Test SAT Word Problems Practice 3

Question 1

A car travels from City A to City B at 60 mph and returns at 40 mph. What is the average speed, in mph, for the entire round trip?

Accepted Answer

48

Answer

Average speed = 2(60)(40)/(60 + 40) = 4800/100 = 48 mph using the harmonic mean for equal distances.

Question 2

A tank is 3/4 full. After 24 gallons are removed, it is 1/2 full. What is the total capacity of the tank in gallons?

Accepted Answer

96

Answer

(3/4)C − 24 = (1/2)C → (1/4)C = 24 → C = 96 gallons.

Question 3

A salesperson earns a base salary of $2,000 per month plus 5% commission on all sales. If she earned $3,500 last month, what were her total sales?

Accepted Answer

$30,000

Answer

Commission = $3,500 − $2,000 = $1,500. Sales = $1,500 / 0.05 = $30,000.

Question 4

The ratio of boys to girls in a class is 3:5. If there are 40 students total, how many more girls than boys are in the class?

Accepted Answer

10

Answer

Boys = (3/8)(40) = 15; Girls = (5/8)(40) = 25. Difference = 25 − 15 = 10.

Question 5

A rectangular garden has a perimeter of 56 meters. The length is 4 meters more than the width. What is the area of the garden in square meters?

Accepted Answer

192

Answer

l + w = 28 and l = w + 4 → w = 12, l = 16. Area = 12 × 16 = 192 sq meters.

Bluebook SAT Practice Test