Bluebook SAT Test SAT Word Problems Practice 2

Question 1

Two pipes fill a tank together in 6 hours. Pipe A alone fills the tank in 10 hours. How many hours does Pipe B alone take to fill the tank?

Accepted Answer

15

Answer

Combined rate = 1/6. Pipe A's rate = 1/10. Pipe B's rate = 1/6 − 1/10 = 2/30 = 1/15, so 15 hours.

Question 2

A chemist mixes a 40% acid solution with a 10% acid solution to produce 30 liters of a 25% acid solution. How many liters of the 40% solution does she use?

Accepted Answer

15

Answer

Let x = liters of 40% solution. 0.40x + 0.10(30 − x) = 7.5 → 0.30x = 4.5 → x = 15.

Question 3

A store marks up its wholesale price by 40% to set the retail price. During a sale, it offers a 20% discount. What percent profit does the store earn over the wholesale price?

Accepted Answer

12%

Answer

Start with wholesale = $100. Retail = $140. Sale price = $140 × 0.80 = $112. Profit = 12%.

Question 4

The width of a rectangle is 6 less than its length. If the area is 91 square units, what is the perimeter?

Accepted Answer

40

Answer

l(l − 6) = 91 → l² − 6l − 91 = 0 → (l − 13)(l + 7) = 0 → l = 13, w = 7. Perimeter = 2(13 + 7) = 40.

Question 5

Working alone, Emily finishes a project in 12 days and Frank in 8 days. After 3 days working together, Frank leaves. How many more days does Emily need to finish alone?

Accepted Answer

4.5

Answer

Together in 3 days: 3(1/12 + 1/8) = 3(5/24) = 5/8 done. Remaining = 3/8. Emily's time = (3/8)/(1/12) = 4.5 days.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test SAT Word Problems Practice 2