College Math Placement Test College Math Placement Test Word Problems

Question 1

A car travels 240 miles in 4 hours. At the same speed, how far will it travel in 7 hours?

Accepted Answer

420 miles

Answer

Speed = 240/4 = 60 mph, so distance in 7 hours = 60×7 = 420 miles.

Question 2

If 5 workers complete a job in 12 days, how many days will 10 workers take?

Accepted Answer

6

Answer

Total work = 5×12 = 60 worker-days; with 10 workers, days = 60/10 = 6.

Question 3

A shirt sells for $45 after a 25% discount. What was the original price?

Accepted Answer

$60.00

Answer

The sale price is 75% of the original, so original = 45 ÷ 0.75 = $60.

Question 4

Two trains 420 miles apart travel toward each other at 60 mph and 80 mph. In how many hours will they meet?

Accepted Answer

3

Answer

Combined speed = 60+80 = 140 mph; time = 420/140 = 3 hours.

Question 5

A 20-liter mixture is 30% acid. How many liters of pure acid must be added to make it 50% acid?

Accepted Answer

8

Answer

Initial acid = 6L; solving (6+x)/(20+x) = 0.50 gives x = 8 liters.

College Math Placement Test Practice Test