In this post, you will come across all the possible work rate time questions that are likely to appear on the GRE.
These are actual real-like GRE questions that you will most likely encounter on the GRE test day.
Questions
Question 1
Working alone, machine A can perform a task in 3 hours. Working alone, machine B can perform the same task in 2 hours. Working together, how many minutes will it take machine A and machine B to perform 2.5 such tasks?
Question 2
If John can finish building a certain house in 6 days and Alex can finish building a similar house in 12 days, how many days will it take them to build a house if they work together?
Question 3
Working alone, machine X can make a batch of widgets in 40 minutes. Working together, machine X and machine Y can make a batch of widgets in 24 minutes. Working alone, how many minutes will it take machine Y to make a batch of widgets?
Question 4
Working together, 7 identical machines can complete a job in 6 hours. How many hours will it take 4 such machines to complete the same job?
Question 6
A water tank has enough water that is sufficient to last 42 days for 20 people. How many days would the water supply last for 6 people?
Question 6
A container holds 40 kg of food to sustain 30 people for 18 days. How long will 72 kg of food last for 12 individuals?
Question 7
Working alone at its constant rate, machine X produces n toy parts in 20 minutes. Working alone at its constant rate, machine Y produces 2n toy parts in 30 minutes. How many minutes does it take machines X and Y, working simultaneously at their respective constant rates, to produce 5n toy parts?
Question 8
Worker A, working alone at a constant rate, produces 4z units of a product in 120 minutes, and worker B, working alone at a constant rate, produces 5z units of the product in 240 minutes, where z is a positive integer.
Quantity A: The number of units of the product that worker A, working alone at its constant rate, produces in 6 hours
Quantity B: The number of units of the product that worker B, working alone at its constant rate, produces in 8 hours
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Question 9
Working alone at a constant rate, person X takes 4 hours to plant a garden. Working alone at a constant rate, person Y takes 5 hours to plant an identical garden. How long, in minutes, will it take the two people, working simultaneously at their respective constant rates, to plant an identical garden?
Question 10
Working alone at its constant rate, machine C produces x units of a produce in 25 minutes. Working alone at its constant rate, machine D produces x units of the produce in 20 minutes. How many minutes does it take machines C and D, working simultaneously at their respective constant rates, to produce x units?
Question 11
Machine C, working alone at its constant rate, produces y jars of jam in 15 minutes. Machine D, working alone at its constant rate, produces y jars of jam in 20 minutes. How many minutes will it take machines C and D, working simultaneously at their respective constant rates, to produce y jars of jam?
Question 12
Three machines, A, B, and C, working simultaneously at their respective constant rates, can assemble a widget in 4 hours. Machines A and B, working simultaneously at their respective constant rates, can assemble the widget in 6 hours. How many hours will it take machine C, working alone at its constant rate, to assemble the widget?
Question 13
One of the machines produces x units of the product in 6 hours, and the other machine produces the same amount of the product in half the time. What fraction of x units of the product will be produced by both machines if they work simultaneously for 50 minutes?
Question 14
At 10:00 am, two pumps began draining gasoline from a tank at a constant rate of 90 liters per minute. At noon, an additional pump began draining gasoline from the tank, increasing the constant rate at which the gasoline was being drained to 210 liters per minute. The tank was empty before 4:00 pm. Which of the following could have been the amount of gasoline, in liters, in the tank at 10:00 am that day?
Indicate all such amounts.
A) 10,600
B) 10,900
C) 25,880
D) 42,120
E) 61,100
F) 61,200
G) 64,000