Rate and Unit Word Problems - SSAT Upper Level: Quantitative
Card 1 of 25
State the unit conversion for $1$ kilometer in meters.
State the unit conversion for $1$ kilometer in meters.
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$1\text{ km}=1000\text{ m}$. Metric length conversion where one kilometer equals one thousand meters.
$1\text{ km}=1000\text{ m}$. Metric length conversion where one kilometer equals one thousand meters.
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State the unit conversion for $1$ meter in centimeters.
State the unit conversion for $1$ meter in centimeters.
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$1\text{ m}=100\text{ cm}$. Metric length conversion where one meter equals one hundred centimeters.
$1\text{ m}=100\text{ cm}$. Metric length conversion where one meter equals one hundred centimeters.
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State the unit conversion for $1$ gallon in quarts.
State the unit conversion for $1$ gallon in quarts.
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$1\text{ gal}=4\text{ qt}$. Imperial volume conversion where one gallon equals four quarts.
$1\text{ gal}=4\text{ qt}$. Imperial volume conversion where one gallon equals four quarts.
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State the unit conversion for $1$ yard in feet.
State the unit conversion for $1$ yard in feet.
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$1\text{ yd}=3\text{ ft}$. Imperial length conversion where one yard equals three feet.
$1\text{ yd}=3\text{ ft}$. Imperial length conversion where one yard equals three feet.
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State the unit conversion for $1$ foot in inches.
State the unit conversion for $1$ foot in inches.
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$1\text{ ft}=12\text{ in}$. Imperial length conversion where one foot equals twelve inches.
$1\text{ ft}=12\text{ in}$. Imperial length conversion where one foot equals twelve inches.
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State the unit conversion for $1$ pound in ounces.
State the unit conversion for $1$ pound in ounces.
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$1\text{ lb}=16\text{ oz}$. Imperial weight conversion where one pound equals sixteen ounces.
$1\text{ lb}=16\text{ oz}$. Imperial weight conversion where one pound equals sixteen ounces.
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Identify the unit rate: $150$ miles in $3$ hours equals how many mph?
Identify the unit rate: $150$ miles in $3$ hours equals how many mph?
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$50\text{ mph}$. Divide total distance by time to compute the average rate in miles per hour.
$50\text{ mph}$. Divide total distance by time to compute the average rate in miles per hour.
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State the unit conversion for $1$ mile in feet.
State the unit conversion for $1$ mile in feet.
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$1\text{ mi}=5280\text{ ft}$. Imperial length conversion where one mile equals five thousand two hundred eighty feet.
$1\text{ mi}=5280\text{ ft}$. Imperial length conversion where one mile equals five thousand two hundred eighty feet.
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Two machines make parts at $5$ parts/min and $7$ parts/min. What is the combined rate?
Two machines make parts at $5$ parts/min and $7$ parts/min. What is the combined rate?
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$12\text{ parts/min}$. Add individual rates of machines working together to find combined production rate.
$12\text{ parts/min}$. Add individual rates of machines working together to find combined production rate.
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Convert a speed of $90\text{ mph}$ to miles per minute.
Convert a speed of $90\text{ mph}$ to miles per minute.
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$1.5\text{ mi/min}$. Divide miles per hour by sixty to convert to miles per minute.
$1.5\text{ mi/min}$. Divide miles per hour by sixty to convert to miles per minute.
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Find the time needed to travel $120$ miles at $40\text{ mph}$.
Find the time needed to travel $120$ miles at $40\text{ mph}$.
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$3\text{ hr}$. Divide distance in miles by rate in miles per hour to find time in hours.
$3\text{ hr}$. Divide distance in miles by rate in miles per hour to find time in hours.
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A cyclist rides $18$ km in $45$ min. What is the speed in km/h?
A cyclist rides $18$ km in $45$ min. What is the speed in km/h?
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$24\text{ km/h}$. Divide distance by time in hours (converting minutes to hours) to find speed.
$24\text{ km/h}$. Divide distance by time in hours (converting minutes to hours) to find speed.
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Find the distance traveled at $12\text{ m/s}$ for $15\text{ s}$.
Find the distance traveled at $12\text{ m/s}$ for $15\text{ s}$.
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$180\text{ m}$. Multiply speed in meters per second by time in seconds to find distance in meters.
$180\text{ m}$. Multiply speed in meters per second by time in seconds to find distance in meters.
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A recipe uses $\frac{3}{4}$ cup sugar per batch. How many cups for $6$ batches?
A recipe uses $\frac{3}{4}$ cup sugar per batch. How many cups for $6$ batches?
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$\frac{9}{2}\text{ cups}$. Multiply sugar per batch by number of batches to find total cups needed.
$\frac{9}{2}\text{ cups}$. Multiply sugar per batch by number of batches to find total cups needed.
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A map scale is $1$ inch : $20$ miles. How many miles does $3.5$ inches represent?
A map scale is $1$ inch : $20$ miles. How many miles does $3.5$ inches represent?
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$70\text{ miles}$. Multiply map distance by scale ratio to convert to actual miles.
$70\text{ miles}$. Multiply map distance by scale ratio to convert to actual miles.
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If a machine makes $12$ parts in $4$ minutes, how many parts does it make in $15$ minutes?
If a machine makes $12$ parts in $4$ minutes, how many parts does it make in $15$ minutes?
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$45\text{ parts}$. Determine rate per minute, then multiply by total time to find parts produced.
$45\text{ parts}$. Determine rate per minute, then multiply by total time to find parts produced.
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Convert a speed of $3\text{ mi/min}$ to miles per hour.
Convert a speed of $3\text{ mi/min}$ to miles per hour.
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$180\text{ mph}$. Multiply miles per minute by sixty to convert to miles per hour.
$180\text{ mph}$. Multiply miles per minute by sixty to convert to miles per hour.
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A printer makes $24$ pages in $3$ minutes. What is the rate in pages per minute?
A printer makes $24$ pages in $3$ minutes. What is the rate in pages per minute?
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$8\text{ pages/min}$. Divide total pages by time in minutes to find the printing rate.
$8\text{ pages/min}$. Divide total pages by time in minutes to find the printing rate.
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If apples cost $\$6$ for $4$ lb, what is the unit price in $$/\text{lb}$?
If apples cost $\$6$ for $4$ lb, what is the unit price in $$/\text{lb}$?
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$\$1.50/\text{lb}$. Divide total cost by weight in pounds to determine the price per pound.
$\$1.50/\text{lb}$. Divide total cost by weight in pounds to determine the price per pound.
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A car uses $9$ gallons to go $270$ miles. What is the fuel efficiency in mpg?
A car uses $9$ gallons to go $270$ miles. What is the fuel efficiency in mpg?
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$30\text{ mpg}$. Divide miles traveled by gallons used to compute miles per gallon.
$30\text{ mpg}$. Divide miles traveled by gallons used to compute miles per gallon.
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A tank holds $60$ gallons and drains at $5\text{ gal/min}$. How long to empty it?
A tank holds $60$ gallons and drains at $5\text{ gal/min}$. How long to empty it?
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$12\text{ min}$. Divide tank capacity by drainage rate to find time to empty in minutes.
$12\text{ min}$. Divide tank capacity by drainage rate to find time to empty in minutes.
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A runner completes $6$ miles in $48$ minutes. What is the pace in minutes per mile?
A runner completes $6$ miles in $48$ minutes. What is the pace in minutes per mile?
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$8\text{ min/mi}$. Divide total time by distance to find pace in minutes per mile.
$8\text{ min/mi}$. Divide total time by distance to find pace in minutes per mile.
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State the unit conversion for $1$ hour in minutes.
State the unit conversion for $1$ hour in minutes.
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$1\text{ hr}=60\text{ min}$. Standard time conversion where one hour equals sixty minutes.
$1\text{ hr}=60\text{ min}$. Standard time conversion where one hour equals sixty minutes.
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State the formula relating distance, rate, and time.
State the formula relating distance, rate, and time.
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$d=rt$. This formula calculates distance as the product of constant rate and time elapsed.
$d=rt$. This formula calculates distance as the product of constant rate and time elapsed.
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State the unit conversion for $1$ minute in seconds.
State the unit conversion for $1$ minute in seconds.
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$1\text{ min}=60\text{ s}$. Standard time conversion where one minute equals sixty seconds.
$1\text{ min}=60\text{ s}$. Standard time conversion where one minute equals sixty seconds.
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