GMAT - Graduate Management Admission Quantitative: Algebraic Word Problems Questions and Answers

Question 1

Two machines, A and B, working together can complete a job in 6 hours.
Machine A, working alone, completes the job in 10 hours.
How many hours would it take Machine B, working alone, to complete the job?

Accepted Answer

15

Answer

9

Answer

12

Answer

16

Question 2

A car travels from Town A to Town B at an average speed of 50 miles per hour and returns from Town B to Town A along the same route at an average speed of 60 miles per hour. If the entire round trip took 11 hours, what is the distance between Town A and Town B?

Accepted Answer

300 miles

Answer

250 miles

Answer

330 miles

Answer

550 miles

Question 3

A merchant mixes 10 pounds of a nut blend that costs $4.00 per pound with a second nut blend that costs $6.50 per pound. How many pounds of the second blend must be used to create a new mixture that costs $5.00 per pound?

Accepted Answer

4 pounds

Answer

6 pounds

Answer

6.67 pounds

Answer

10 pounds

Question 4

The sum of the current ages of a father and his son is 60 years. Six years ago, the father's age was five times the age of the son. What is the son's current age?

Accepted Answer

14 years

Answer

15 years

Answer

20 years

Answer

46 years

Question 5

A bookstore bought a number of books for a total of $1200. If each book had cost $2 less, the bookstore would have received 30 more books for the same amount of money. Which of the following equations could be used to find the original number of books, x?

Accepted Answer

(1200/x) - 2 = 1200/(x+30)

Answer

(1200/x) - 2 = 1200/(x-30)

Answer

(1200/x) + 2 = 1200/(x-30)

Answer

(1200/x) + 30 = 1200/(x-2)

Question 6

A train traveling at a constant speed covers a distance of 240 miles. If the speed had been 20 miles per hour faster, the journey would have taken 1 hour less. What was the original speed of the train?

Accepted Answer

60 mph

Answer

40 mph

Answer

50 mph

Answer

80 mph

Two machines, A and B, working together can complete a job in 6 hours.Machine A, working alone, completes the job in 10 hours.How many hours would it take Machine B, working alone, to complete the job?

Two machines, A and B, working together can complete a job in 6 hours.
Machine A, working alone, completes the job in 10 hours.
How many hours would it take Machine B, working alone, to complete the job?