Work and Pipe Problems: Quick Lesson, Shortcuts and UPCAT Practice
TEACHER ABI UPCAT MATHEMATICS Work and Pipe Problems A quick lesson, reliable shortcuts, worked examples, adaptive practice, and a five-form mastery check for work-rate problems. 5–10 minute lesson Original practice No calculator Saves progress Lesson Shortcuts Examples Skill Check Practice Mastery FAQ MY STATUS Work-Rate Problems This competency has not yet been verified on this browser. NOT STARTED QUICK REVIEW Turn completion time into a rate A worker, machine, or pipe that finishes one whole job in t hours completes 1/t of the job per hour. rate = 1 ÷ completion time Working together Add rates that complete the same job. combined rate = 1/a + 1/b Filling and draining Add filling rates, but subtract a drain or leak because it removes work. net rate = fill rate − drain rate For any interval, use work completed = rate × time . If part of the job is already done, use remaining work = 1 − completed work . DO IT FAST Two shortcuts—and when not to use them Two workers ...
