How to find rate - SSAT Upper Level Quantitative
Card 0 of 48
On a map, 
. If two cities are 
apart on the map, how many miles apart are they in reality?
On a map,
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Set up the following proportion:
,
where 
is the number of miles the cities are apart.
Now, solve for 
.
The two cities are 
miles apart.
Set up the following proportion:
where
Now, solve for
The two cities are
A factory can make 
tents in 
minutes. At this rate, how long, in minutes, would it take the factory to make 
tents?
A factory can make
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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.
First, find out how long it takes the factory to produce
Since it takes the factory
It will take the factory
If Billy can drink 
cans of soda in 
days, how many cans of soda can he drink in 
days?
If Billy can drink
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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.
First, find how many cans of soda Billy can drink in 1 day.
Since, he can drink
It costs 
to buy 
markers. How much would it cost to buy 
markers?
It costs
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First, find the cost per marker.
Now, multiply this cost per marker by 
, the number of markers we want.
First, find the cost per marker.
Now, multiply this cost per marker by
A 
gallon tank of water is leaking 
gallons every 
minutes. After how many hours will the tank be empty?
A
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Set up the following proportion:
,
where 
is the number of hours it'll take to empty 
gallons.
Now solve for 
.
Set up the following proportion:
where
Now solve for
Chuck is building a driveway that measures 
feet by 
feet. He needs to use 
pounds of cement for every square foot of driveway. How many pounds of cement does he need to complete the driveway?
Chuck is building a driveway that measures
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First, find the area of the driveway.
Since it takes 
pounds of cement per square feet,
pounds will be needed to complete the driveway.
First, find the area of the driveway.
Since it takes
Julie can read 
pages in 
minutes. How long, in minutes, would it take Julie to read a book that had 
pages?
Julie can read
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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.
First, figure out how long it takes Julie to read 1 page.
It takes Julie
It will take Julie
If it takes Dennis 
minutes to paint 
walls, how many minutes does it take him to paint 
wall?
If it takes Dennis
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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.
Divide the time it take Dennis to paint
It will take Dennis
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?
An arcade charges players
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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.
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
Joanna can finish 
math problems in 
minutes. How many minutes would it take her to finish 
math problems?
Joanna can finish
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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.
First, find out how long it will take her to finish
Since it takes Joanna
It will take her
If a doctor charges 
per hour for her services, how much would it cost to hire this doctor for 
minutes?
If a doctor charges
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First, convert the minutes to hours.
Since 
minutes is 
hours, multiply this by the doctor's hourly rate to find how much it will cost to hire this doctor for 
minutes.
First, convert the minutes to hours.
Since
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?
A dentist charges
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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.
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.
On a map, . If two cities are apart on the map, how many miles apart are they in reality?
On a map,
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Set up the following proportion:
,
where is the number of miles the cities are apart.
Now, solve for .
The two cities are miles apart.
Set up the following proportion:
where
Now, solve for
The two cities are
A factory can make tents in minutes. At this rate, how long, in minutes, would it take the factory to make tents?
A factory can make
Tap to see back →
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.
First, find out how long it takes the factory to produce
Since it takes the factory
It will take the factory
If Billy can drink cans of soda in days, how many cans of soda can he drink in days?
If Billy can drink
Tap to see back →
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.
First, find how many cans of soda Billy can drink in 1 day.
Since, he can drink
It costs to buy markers. How much would it cost to buy markers?
It costs
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First, find the cost per marker.
Now, multiply this cost per marker by , the number of markers we want.
First, find the cost per marker.
Now, multiply this cost per marker by
A gallon tank of water is leaking gallons every minutes. After how many hours will the tank be empty?
A
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Set up the following proportion:
,
where is the number of hours it'll take to empty gallons.
Now solve for .
Set up the following proportion:
where
Now solve for
Chuck is building a driveway that measures feet by feet. He needs to use pounds of cement for every square foot of driveway. How many pounds of cement does he need to complete the driveway?
Chuck is building a driveway that measures
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First, find the area of the driveway.
Since it takes pounds of cement per square feet,
pounds will be needed to complete the driveway.
First, find the area of the driveway.
Since it takes
Julie can read pages in minutes. How long, in minutes, would it take Julie to read a book that had pages?
Julie can read
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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.
First, figure out how long it takes Julie to read 1 page.
It takes Julie
It will take Julie
If it takes Dennis minutes to paint walls, how many minutes does it take him to paint wall?
If it takes Dennis
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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.
Divide the time it take Dennis to paint
It will take Dennis