Rate, work, and mixture word problem setups and solving approaches tested on the GMAT quantitative section.
About this set
36 basic cards for GMAT GMAT. It opens with "What is the fundamental formula relating distance, rate, and time?" and "If two people travel toward each other, how do you find their relative speed?". More Test Prep decks are listed below.
36 cards · basic cards · AI-written, checked twice. Edit anything.
- What is the fundamental formula relating distance, rate, and time?
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Distance = Rate × Time- If two people travel toward each other, how do you find their relative speed?
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Add their individual speeds together- If two people travel in the same direction and one is faster, what is the relative speed?
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Subtract the slower speed from the faster speed- In work problems, what does a work rate of 1/5 mean?
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The worker completes one-fifth of the job in one unit of time- How do you combine work rates when two workers work together on the same job?
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Add the individual work rates- If Worker A completes a job in 6 hours, what is Worker A's work rate?
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1/6 of the job per hour- Workers A and B have rates of 1/4 and 1/6 per hour. What is their combined rate?
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1/4 + 1/6 = 5/12 of the job per hour- If a combined work rate is 5/12 per hour, how many hours to complete the job?
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12/5 hours, or 2.4 hours- What does concentration mean in a mixture problem?
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The amount of solute (ingredient) divided by the total amount of solution- How do you find the amount of pure ingredient in a mixture?
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Multiply the concentration by the total amount of solution- If you mix 10 liters of 40% solution with 15 liters of 60% solution, what equation sets up the pure amount in the final mixture?
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0.4(10) + 0.6(15) = concentration of final mixture × 25- In a mixture problem combining two solutions, what principle ensures your equation is correct?
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The total amount of pure ingredient is conserved before and after mixing- If a 200-liter tank holds a 25% solution and 50 liters are drained, what concentration remains?
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Still 25% (removing solution removes solute and solvent in the same proportion)- In a work problem, if Worker A completes 1/3 of a job and Worker B completes the rest, what fraction does Worker B complete?
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2/3 of the job- Two machines working together complete a job in 8 hours. If Machine A alone takes 12 hours, how long does Machine B alone take?
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24 hours
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