State whether the following scenarios could be used to determine the rate of reading in hours/book.
The number of hours taken to read a given number of books.
The amount of time in an hour spent reading.
The number of books read this week compared to last week.
The number of books read in a given number of hours.
Quentin is making jewellery. State which of the following would give a rate in necklaces/hour.
Number of necklaces made in 1 hour.
Number of hours taken to make 1 necklace.
A car travels at a speed of S \text{ km/h}. If it travels D kilometers in T hours, express the rate S in terms of D and T.
A printer can print at a rate of S sheets of paper per minute. If it prints P sheets of paper in T minutes, express the rate S in terms of P and T.
A company makes money at a rate of \$ R per hour. If it earns \$ A, in T hours, express the rate R in terms of A and T.
Skye is taking part in a hotdog eating competition. State whether the following compound units could be used to measure how quickly she can eat hotdogs.
Hotdogs/minute
Seconds/hotdog
Hotdogs/glass of water
Seconds/bite
Mario is driving his car. He knows how far he has travelled in kilometres, and how long it has taken him in minutes. State the unit rate that can be used to calculate his average speed.
State which of the following is an example of a unit rate:
To write information given in metres and seconds as a unit rate of \text{m/sec}, do we do \text{ metres} \div \text{seconds} or \text{ seconds} \div \text{metres}?
Tricia reads 20 pages of her book in 2 hours. State the unit rate of pages per hour.
Luke writes 900 words in 20 minutes. State Luke's writing speed in words per minute.
Write the following as a unit rate:
780 books per 13 libraries
Travel 429 \text{ km} in 6.5 hours
9860 revolutions for every 17 \text{ km}
102 people for 6 buses
Compute the hourly pay rates of the following people:
Scott earns \$1134 in 6 hours.
Yuri earns \$396 in 4 hours.
Justin earns \$420 in 6 hours.
Julia earns \$380 in 9.5 hours.
Gwen is trying to save money and deposits \$4.20 into her bank account for every 7 coffees she purchases. State her rate of depositing in terms of cents per coffee.
Find the rate at which each person burns calories per kilometre:
Tina burns 640 \text{ cal} by jogging 8 \text{ km}.
Cho burns 267 \text{ cal} by jogging 3000 \text{ m}.
A tap fills up a 240 \text{ L} tub in 4 hours.
State the compound unit that measures the rate of water flow.
Find the rate of water flow of the tap.
Find the rate of water flow of the following:
A tap fills up a 540 \text{ L} tub in 9 hours.
A tap fills up a 98 \text{ L} tub in 2 hours.
A toy manufacturer makes 720 toys in 9 hours.
State the compound unit that measures the rate of toy manufacturing.
Find the rate at which the toys are being made.
A manufacturer makes 441 shirts in 9 hours. Find the rate of the shirts made per hour.
A three episode TV series had a total run time of 72 minutes. Find the rate of run time per episode.
Find the rate in frames per second (\text{fps}) for the following:
A film maker is stitching together frames for a movie. They put together 6 frames for every 0.2 seconds.
A car travels 320 \text{ km} in 4 hours.
Complete the table of values.
State the speed of the car in kilometres per hour.
| Time taken (hours) | 4 | 2 | 1 |
|---|---|---|---|
| Distance travelled (km) | 320 |
Speed, S, is a rate equal to distance, D, travelled in time T, according to:
S = \dfrac{D}{T}Write the following as speeds in \text{km/h}:
40 \text{ km} travelled in 2 hours.
1200 \text{ km} travelled in 6 hours.
180 \text{ km} travelled in 1.5 hours.
4000 \text{ m} travelled in 30 minutes.
A car that travels 560 \text{ km} in 7 hours.
A bike travels 105 \text{ km} in 7 hours.
The wheel of a car completes 7560 full revolutions for every 18 \text{ km} travelled. How many revolutions will it complete per kilometre?
Find the rate of fuel consumption of each car in \text{L/km}:
A car travels 160 \text{ km} and consumes 4 \text{ L} of fuel.
A car travels 253 \text{ km} on 11 \text{ L} of biofuel. Express the fuel consumption as a unit rate in \text{km/L}.
A biodiesel car travels 350 \text{ km} on 14 \text{ L} of vegetable oil. How many kilometres can the car travel on 1 \text{ L} of vegetable oil?
Determine the fuel economy of each cars in \text{km/L}.
A car travels 385 \text{ km} and consumes 8.75 \text{ L} of fuel.
A car travels 171 \text{ km} and consumes 4.5 \text{ L} of fuel.
Japan's Tokaido Shinkansen trains, also called bullet trains, regularly travel a total of 1440 \text{ km} in four and a half hours, over the period of one week. Write this as a speed in \text{km/hr}.
An airbus A320 plane travels 14\,000\text{ km} and uses 315 \text{ L} of fuel per passenger.
Express the fuel consumption per passenger as a unit rate in \text{km/L}, correct to two decimal places.
Express the fuel consumption per passenger as a unit rate in \text{L/km}, correct to four decimal places.
Fuel consumption is usually given as rate per 100 \text{ km}. Convert your answer to part (b) into \text{ L/}100 \text{ km}.