GMAT Quantitative Reasoning › DSQ: Understanding work problems
Steve can paint his greenhouse in 4 hours 40 minutes minutes, working alone; his brother Phil can do the same job in 6 hours, working alone. If they work together, to the nearest minute, how long will it take them?
A large water tower can be emptied by opening one or both of two drains of different sizes. On one occasion, both drains were opened at the same time. How long did it take to empty the water tower?
Statement 1: Alone, the smaller drain can empty the tower in three hours.
Statement 2: Alone, the larger drain can empty the tower in two hours.
Clara spent of her salary on rent and
of the rest on clothes. How much did she have left after paying the rent and buying the clothes?
(1) Her salary was $3000
(2) She spent $1400 on rent and clothes
A large water tower can be emptied by opening one or both of two drains of different sizes. On one occasion, both drains were opened at the same time. How long did it take to empty the water tower?
Statement 1: Alone, the larger drain can empty the tower in three hours.
Statement 2: The smaller drain can empty water at 75% of the rate at which the larger drain does.
Last week, Mrs. Smith, Mrs. Edwards, and Mrs. Hume were able to write invitations to a party in two hours.
Today, Mrs. Smith is sick and cannot help, so Mrs. Edwards, and Mrs. Hume have to work without her. They must write more invitations to the same party. How long should they take, working together?
Statement 1: Working alone, Mrs. Smith can write invitations in one and one-half hours.
Statement 2: Working alone, Mrs. Hume can write invitations in one hour.
Three brothers - David, Eddie, and Floyd - mow a lawn together, starting at the same time. How long will it take them to finish?
Statement 1: Working alone, David can mow the lawn in four hours.
Statement 2: Working together, but without David, Eddie and Floyd can mow the lawn in three hours.