unit rate

On her 10 mile trip to school, Jessica's car gets 50 mpg of gas. On her way home, her car gets 40 miles per gallon. How many miles per gallon does Jessica's car get during the entire 20 mile trip? 50 miles each gallon for a 10 mile drive = 1/5 gallon 40 miles each gallon for a 10 mile drive =...

5 kids are sharing 3 cupcakes. How much will they each get 3 cupcakes / 5 kids = 3/5 cupcake per kid or 0.6 cupcake per kid

Joseph can paint n cars in t hours. How long does it take Joseph to paint one car? t hours / n cars = t/n hours

A 50-gallon water heater leaks .125 gallons of water every 14 minutes. How long until it is completely empty? 50 gallons / .125 gallons leaked = 400 (14 min increments) 400 (14 min increments) * 14 minutes = 5600 minutes 5600 minutes / 60 minutes per hour = 93 hours and 20 minutes

A truck driver took 7 hours and 45 minutes to travel 426.25 miles. What was the average speed of the truck driver? 45/60 = 0.75 of an hour 7 hours and 45 minutes = 7.75 hours 426.25 miles / 7.75 hours miles = 55 miles per hour

If Jay reads 1 & 1/8 pages per minute, how long will it take him to read 72 pages? Calculate de 72 pages / 1 & 1/8 Converting to decimal, we have: 72 pages / 1.125 pages per minute = 64 minutes

If Juan spent $1.28 for ground beef that cost $1.92 per pound, how much ground beef did Juan buy? Calculate unit rate: $1.28 / $1.92 per pound = 2/3 pound or 0.6667 pounds

How many 2/4 pound pieces can be cut from a giant 1200 pound thumbnail? Using a fraction: 1200 pounds of meatball / 3/4 pound pieces = 1,600 pieces Using a decimal 0.75 for 3/4: 1200 pounds of meatball / 0.75 pound pieces = 1600 pieces

Eight workers dug 3/8 of a tunnel in 10 days. If they need to finish the remaining 5/8 of the tunnel in 3 & 1/3 days, how many more workers must they hire? Eight workers * 10 days = 80 days for one worker If 3/8 of a tunnel took 80 days for one worker, then each 1/8 of a tunnel takes a single...

Anna paints a fence in 4 hours wile her brother paints it in 5 hours. If they work together, how long will it take them to paint the fence? Set up unit rates per hour: Anna paints 1/4 of a fence per hour Brother paints 1/5 of a fence per hour Combined, they paint 1/4 + 1/5 = 9/20 of a fence...

A construction crew must build a road in 10 months or they will be penalized $500,000. It took 10 workers 6 months to build half of the road. How many additional workers must be added to finish the road in the remaining 4 months? Calculate unit rate per one worker: 10 workers * 6 months = 60...

Brandon can shovel his sidewalk in 8 minutes, while his brother can shovel the walk in 12 minutes. If they work together, how long will it take them to shovel the sidewalk? Set up unit rates: Brandon can shovel 1/8 of a sidewalk per minute His brother can shovel 1/12 of a sidewalk per minute...

It takes 3 city snowplows 14 hours to clear 500 miles of road. If the city wants the 500 miles of road to be cleared in 6 hours, how many additional snowplows must they buy? Set up unit rate per plow: 14 hours * 3 plows = 42 hours for one plow to clear 500 miles of road Calculate the amount of...

When the drain is closed, a swimming pool can be filled in 4 hours. When the drain is opened, it takes 5 hours to empty the pool. The pool is being filled, but the drain was accidentally left open. How long until the pool is completely filled? Set up unit fill rates per hour: 1/4 of the pool...

When the water is turned on, a bathtub will be filled in 12 minutes. When the drain is opened it takes 20 minutes for the tub to drain. If the water is turned on and the drain is left open, how long until the tub is filled? In one hour, the faucet will fill 5 tubs since 12 * 5 = 60 minutes. In...

Four children can eat a large pizza in 12 minutes. How long would it take 9 children to eat the same pizza? (Give your answer in minutes and seconds.) One child can eat the pizza in 4 * 12 minutes = 48 minutes 48 minutes per child / 9 children = 5.3333 minutes 1/3 of a minute = 20 seconds, so...

It takes a crew of 4 painters 12 hours one house. If they wanted to paint the house in 8 hours, how many additional painters must they hire? It takes one painter 4 * 12 hours = 48 hours to paint the house. Now we calculate the unit rate: 48 hours / 8 hours = 6 painters 6 painters - 4 original...

Three people can pick all the apples from 5 trees in 5 hours. How long will it take 5 people to pick all the apples from the 5 trees? Three people * 5 hours= 15 hours 15 hours / 5 people = 3 hours

A box of goldfish food can feed 3 fish for 4 weeks. How long will the box last if there are 7 goldfish? 4 weeks = 7 * 4 = 28 days One box = 3 fish * 28 days = 84 days 84 days / 7 goldfish = 12 days

If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel? If one person dug the tunnel, it would take 100 days * 12 workers = 1,200 days. 1200 days / 20 workers = 60 days