How to find rate
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SSAT Upper Level Quantitative › How to find rate
Julie can read  pages in 
 minutes. How long, in minutes, would it take Julie to read a book that had 
 pages?
Explanation
First, figure out how long it takes Julie to read 1 page.
It takes Julie  minutes to read one page. Now, multiply this by the number of pages she needs to read to find out how long it will take her.
It will take Julie  minutes to read 
 pages.
It costs  to buy 
 markers. How much would it cost to buy 
 markers?
Explanation
First, find the cost per marker.
Now, multiply this cost per marker by , the number of markers we want.
On a map, . If two cities are 
 apart on the map, how many miles apart are they in reality?
Explanation
Set up the following proportion:
,
where  is the number of miles the cities are apart.
Now, solve for .
The two cities are  miles apart.
A dentist charges  per hour for the first three hours of an appointment. Any amount of time greater than three hours is charged at 
 per hour. If a patient had a 
 hour long appointment, how much would this appointment cost?
Explanation
Use the dentist's rate to find how much the first three hours of the appointment will cost.
Next, use the dentist's second rate to find out how much the last five hours of the appointment will cost.
Now, add these values together to get the cost of the entire appointment.
If Billy can drink  cans of soda in 
 days, how many cans of soda can he drink in 
 days?
Explanation
First, find how many cans of soda Billy can drink in 1 day.
Since, he can drink  cans in 
 day, then the following equation will tell us how many cans he drinks in 
 days.
A  gallon tank of water is leaking 
 gallons every 
 minutes. After how many hours will the tank be empty?
Explanation
Set up the following proportion:
,
where  is the number of hours it'll take to empty 
 gallons.
Now solve for .
A factory can make  tents in 
 minutes. At this rate, how long, in minutes, would it take the factory to make 
 tents?
Explanation
First, find out how long it takes the factory to produce  tent.
Since it takes the factory  minutes to make 
 tent, multiply this number by 
 to find how long it takes to make 
 tents.
It will take the factory  minutes to make 
 tents.
If it takes Dennis  minutes to paint 
 walls, how many minutes does it take him to paint 
 wall?
Explanation
Divide the time it take Dennis to paint  walls by the number of walls he painted to find how long it will take him to paint one wall.
It will take Dennis  minutes to paint one wall.
An arcade charges players  to play on the machine for 
 minutes. How much money would it cost a player if she wanted to play for an hour?
Explanation
First, find out how much money it costs to play for one minute.
Now, multiply this amount by the number of minutes in an hour to find how much it will cost for the player to play for one hour.
It will cost her  to play for one hour.
Joanna can finish  math problems in 
 minutes. How many minutes would it take her to finish 
 math problems?
Explanation
First, find out how long it will take her to finish  math problem.
Since it takes Joanna  minutes to finish one problem, multiply this number by the amount of questions she needs to do.
It will take her  minutes to finish 
 questions.