ACT Math

Combined work problems on ACT Math

October 7, 2026 · 5 min read

Combined work uses rates, not times. Add what each person does in one hour, then invert to get the time together. If A finishes in 6 hours and B in 3, together they do 1/6 + 1/3 = 1/2 of the job per hour, so two hours. Rate problems as a set are in rate problems.

One hour of work

Write each rate as a fraction of the job per hour. Add the fractions. The reciprocal is the time together. If someone leaves after two hours, subtract the unfinished fraction and finish with the remaining rate.

Travel still uses distance equals rate times time, in d = rt. Percent change is a different formula, in percent change. The short list is in ACT Math formulas.

The bottom line

Add hourly rates. Invert the sum. Do not average the two times.

Start practicing

Start with a free diagnostic, then drill your weak spots with 15-question quizzes and track how you're doing across Reading, English, and Math. Compare plans whenever you're ready to go further.

This article offers general ACT prep guidance. The ACT can change from year to year, including its format, scoring, policies, test dates, and fees, so always confirm the latest details on the official ACT website at act.org before you make decisions. ACT® is a registered trademark of ACT, Inc. thirty-six is not affiliated with, endorsed by, or sponsored by ACT.