We bring to you yet another important topic of the GRE exam.
As in our previous posts, we have included practice questions for helping your preparation.
Keep practicing!
TIME AND WORK
Practice Problems:
(1) A manufacturing company has plants in three locations: Indonesia, Mexico, and Pakistan. The company has 6,000 employees, and each of the employees works at only one of the plants. If of the employees work at the plant in Indonesia and if twice as many employees work at the plant in Mexico as work at the plant in Pakistan, how many employees work at the plant in Mexico? (Numeric Entry)
Answer : 2,500
(2) In a certain medical group, Dr. Schwartz schedules appointments to begin 30 minutes apart, Dr. Ramirez schedules appointments to begin 25 minutes apart, and Dr. Wu schedules appointments to begin 50 minutes apart. All three doctors schedule their first appointments to begin at 8:00 in the morning, which are followed by their successive appointments throughout the day without breaks. Other than at 8:00 in the morning, at what times before 1:30 in the afternoon do all three doctors schedule their appointments to begin at the same time? Indicate all such times.
🔘9:30 in the morning
🔘10:00 in the morning
🔘10:30 in the morning
🔘11:00 in the morning
🔘11:30 in the morning
🔘12:00 noon
🔘12:30 in the afternoon
🔘1:00 in the afternoon
Answer : (C), (H)
(3) If it takes three days for 10 workers to finish building one house, how many days will it take 15 workers to finish for houses?
🔘8
🔘10
🔘12
🔘6
🔘14
Answer : 8
(4)
| Quantity A | Quantity B |
| The number of seconds in 8 hours | The number of hours in 52 weeks |
🔘Quantity A is greater
🔘Quantity B is greater
🔘The two quantities are equal
🔘The relationship cannot be determined from the information given.
Answer : Quantity A is greater
(5) A and B together complete a work in 4 days, B and C together in 6 days, C and A together in 5 days. Working independently, who will finish the work in the least time and in how many days?
🔘A, 120/17 days
🔘B, 120/13 days
🔘B, 120/17 days
🔘C, 120/7 days
🔘A, 120/7 days
Answer : A, 120/17 days
(6) If it takes 5 robots 5 hours to make a total of 5 toys, how long would it take 10 robots to make 10 toys at the same rate?
🔘5
🔘10
🔘6
🔘8
🔘15
Answer : 5
(7) John build a wall in 30 days and Peter can demolish the same wall in 40 days. If they work on alternate days with John starting the job on the 1st day, then in how many days will the wall be built for the first time?
🔘231
🔘232
🔘233
🔘234
🔘235
Answer : 233
(8) Tate can develop specific software in 15 days, while Kate takes 30 days to complete it. However Tate do not have more than 3 days to devote, therefore he works along with Kate for only first 3 days of the project and leaves Kate to finish the project on his own. Find how many days will Kate need to finish the project now?
| Quantity A | Quantity B |
| Days will Kate need to finish the project now | 21 |
🔘Quantity A is greater
🔘Quantity B is greater
🔘The two quantities are equal
🔘The relationship cannot be determined from the information given.
Answer : The two quantities are equal
(9) Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a production lot in 3 hours, and Machine B can fill the same lot in x hours. If A and B worked alternatively, while each work for 1 hour at a time, the total work gets completed in 4 hours What is the value of x? (Numeric Entry)
Answer : 6
(10) If 2 persons can complete a work in 8 days and 1 persons complete his work in 24 days. How much days will second person take to complete their work alone?
🔘11
🔘12
🔘13
🔘14
🔘15
Answer : 12
TIME, SPEED AND DISTANCE
Formulas needed to solve these type of questions are:
(1) D=R x T
This stands for Distance = Rate x Time
It can also be rearranged as :
Time = Distance / Rate or as Rate = Distance / Time
(2) Average Rate = Total Distance / Total Time
(3) 
Practice Problems:
(1) Joe drives at an average rate of 40 mph from New York to Washington, a distance of 240 miles. How long does it take him to complete the trip? (Numeric Entry)
Answer : 6 hrs
(2) Marion spent a day on a sightseeing trip in Tuscany. First she boarded a bus which went 15 mph through a 30 mile section of the countryside. The bus then stopped for lunch in Florence before continuing on a 3 hour tour of the city’s sights at speed of 10 mph. Finally, the bus left the city and drove 40 miles straight back to the hotel. Marion arrived back at her hotel exactly 2 hours after leaving Florence. What was the bus’s average rate for the entire journey?
🔘13.28 mph
🔘14.28 mph
🔘15 mph
🔘16 mph
🔘12.4 mph
Answer : 14.28 mph
(3) Mary ran to the top of a mountain at an average pace of 8 miles per hour. She took the exact same trail back down. To her relief, the descent was much faster; her average speed rose to 15 miles per hour. If the entire run took Tracey exactly two hour to complete and she did not make any stops, how many miles is the trail one way?
🔘7.85 miles
🔘8.99 miles
🔘10.43 miles
🔘11.45 miles
🔘5.67 miles
Answer : 10.43 miles
(4) A bus traveled from its depot to its destination at an average speed of 70 miles per hour. On its return to the depot along the same route, the bus traveled at an average speed of only 30 miles per hour, making the trip 4 hours longer. What is the total distance of the round trip?
🔘420 miles
🔘630 miles
🔘510 miles
🔘960 miles
🔘360 miles
Answer : 420 miles
(5) David drove to work at an average (arithmetic mean) speed of 45 miles per hour. After work, David drove home at an average speed of 60 miles per hour. If David spent a total of 2 hours commuting to and from work, how many miles does David drive to work?
🔘256/5
🔘360/7
🔘105/2
🔘160/3
🔘48
Answer : 360/7
(6) Joe’s car can travel 36 miles per gallon of fuel. Approximately how many km can the car travel on 10 litres of fuel? (Given: 5 miles = approx. 8 kms. ; 1 gallon = approx. 4L)
🔘135 km
🔘156 km
🔘162 km
🔘144 km
🔘120 km
Answer : 144 km
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