Rate, work, and mixture word problem setups and solving approaches tested on the GRE quantitative reasoning section.
33 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 x time- A car travels 150 miles in 3 hours at constant speed. What is its speed?
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50 miles per hour- If Person A runs at 8 mph and Person B runs at 6 mph toward each other from 28 miles apart, how long until they meet?
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2 hours- A boat travels 30 mph in still water. What is its speed going upstream in a 5 mph current?
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25 mph- A boat's downstream speed is 24 mph in a 4 mph current. What is its speed in still water?
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20 mph- Two trains leave the same station simultaneously traveling in the same direction at 70 mph and 50 mph. After 3 hours, how far apart are they?
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60 miles- A car travels 120 miles at 40 mph, then 120 miles at 60 mph. What is the average speed for the entire trip?
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48 mph- A cyclist travels from Town A to Town B at 15 mph, then returns at 10 mph on the same route. What is the average speed for the round trip?
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12 mph- What is the formula for a worker's rate when the worker completes one full job?
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work rate = 1 / (time to complete job)- If Worker A completes a job in 4 hours and Worker B completes the same job in 6 hours, what fraction of the job do they complete together per hour?
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5/12- Worker X's rate is 1/8 job per hour and Worker Y's rate is 1/12 job per hour. How long to complete one job working together?
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4.8 hours or 24/5 hours- If a pump drains a pool at 40 gallons per hour while a fill valve adds 25 gallons per hour, what is the net rate of drainage?
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15 gallons per hour- Pipe A fills a tank in 12 hours; Pipe B fills it in 15 hours. If both run together for 2 hours, what fraction of the tank is full?
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3/10- Two workers together complete a job in 6 hours. If one worker alone takes 10 hours, how long does the second worker alone take?
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15 hours- What formula relates concentration, amount of solute, and total volume in a mixture problem?
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concentration = (amount of solute) / (total volume)
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