Comparing Rates of Change in Everyday Scenarios

A car travels at a speed of 60 miles per hour. Another car travels at 75 miles per hour. How much faster is the second car compared to the first car?

• 20 miles per hour

• 25 miles per hour

• 15 miles per hour

• 10 miles per hour

A bike rental shop charges $10 for the first hour and $5 for each additional hour. Another shop charges a flat rate of $20 for the whole day. After how many hours will the first shop become more expensive than the second?

• 4

• 2

• 5

• 3

A gardener can plant 15 trees in 3 hours. Another gardener can plant 20 trees in 4 hours. Who has the greater rate of planting trees?

• The second gardener has a greater rate.

• The first gardener has a greater rate.

• Both gardeners have the same rate of planting trees.

• The first gardener can plant 10 trees in 3 hours.

A train travels 120 miles in 2 hours, while a bus travels 90 miles in 1.5 hours. Which vehicle has a higher rate of speed?

• Both vehicles have the same speed.

• The bus is faster than the train.

• The train travels at 60 miles per hour.

• The train is faster than the bus.

A store sells apples for $2 per pound and oranges for $3 per pound. If you buy 5 pounds of apples and 3 pounds of oranges, how much more do you spend on oranges than apples?

• $3 more

• $5 more

• $2 less

• $1 less

A runner completes a 5K race in 25 minutes, while another runner completes it in 30 minutes. What is the difference in their average speeds in miles per hour?

• 1.24 mph

• 1.75 mph

• 1.50 mph

• 1.10 mph

A subscription service charges $15 per month, while another service charges $10 per month plus a one-time fee of $20. After how many months will the first service cost less than the second?

• 4

• 6

• 2

• 8

A painter can paint a room in 4 hours, while another painter can do it in 6 hours. How much more time does the second painter take compared to the first?

• 3 hours

• 1 hour

• 2 hours

• 4 hours

A student reads 30 pages in 1 hour, while another student reads 45 pages in 1.5 hours. Who reads at a faster rate?

• The second student reads faster.

• The first student reads 30 pages in 30 minutes.

• Both students read at the same rate.

• The first student reads faster.