Mixture & Work ProblemsATI TEAS 7 cheat sheet

Two classic setups

6 key facts 1 practice questions Reviewed Oct 2026

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Mixture

Track the amount of the pure substance, not just the total
(rate₁ × amount₁) + (rate₂ × amount₂) = rate_final × total

Work Rate

Rate = 1 job / time
Two workers together: add the rates, then invert for the time

Worked

One finishes in 4 h, another in 6 h → 1/4 + 1/6 = 5/12 → 12/5 = 2.4 h

Check

Together must be faster than either alone

Key takeaway

Two classic setups

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Question 1 of 1

A nurse works 6 shifts of 7 hours each. How many hours is that in total?

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