Work Problems — Engineering Board Exam Practice Questions

18 free engineering board exam reviewer questions on Work Problems (Algebra), each with the correct answer and a worked solution.

  1. Mr. Yayama Nin can wash his car in 15 minutes, while his son Reese Kid takes twice as long to do the same job. If they work together, how…
  2. Pipes X and Y can fill an empty tank in 6 and 3 hours respectively. Drain D can empty a full tank in 24 hours. How long will an empty tank…
  3. Bing can finish a job in 8 hours. Bong can do it in 5 hours. If Bing worked for 3 hours and then Bong was asked to help her finish it, how…
  4. Bing, Bong and Bang can mow a lawn in 3, 4 and 6 hours respectively. What fraction (as a percent) of the yard can they mow in 1 hour if…
  5. A and B can do a piece of work in 60 days, B and C in 35 days, and A and C in 30 days. Working together, how many days can all of them…
  6. If 15 students can build a railway prototype 108 m long in 6 days, what length of similar railway can be built by 25 students in 3 days?
  7. Twenty-eight students can finish a certain design project in sixty days. At the start of the sixteenth day, five students dropped the…
  8. Marlon, Kimbert and Meryl can mow the lawn in 4, 6 and 7 hours respectively. What fraction of the yard can they mow in 1 hour if they work…
  9. One pipe can fill a tank in 6 hours and another pipe can fill the same tank in 3 hours. A drain pipe can empty the tank in 24 hours. With…
  10. The time required for two examinees to solve the same problem differs by two minutes. Together they can solve 32 problems in one hour. How…
  11. A man can do a job three times as fast as a boy. Working together it would take them 6 hours to do the same job. How long will it take the…
  12. In a company, x can do a job 50% faster than y and 20% faster than z. If they work together, they can finish the job in 4 days. How many…
  13. Candle A and candle B of equal length are lighted at the same time and burn until candle A is twice as long as candle B. Candle A is…
  14. The average rate of production of a PCB is 1 unit for every 2 hours of work by two workers. How many PCBs can be produced in one month by…
  15. 24 workers can finish a road project in 20 days. After 5 days, 6 workers leave the job. In how many more days will the remaining workers…
  16. One pipe can fill a tank in 5 hours and another in 8 hours. A drain can empty the full tank in 10 hours. With all three open, how many…
  17. A and B together can finish a job in 12 days. A alone can finish it in 20 days. How many days would B need to do the job alone?
  18. A can paint a house in 6 days and B can paint it in 3 days. Working together, how many days will they take?