Ratio and Rate Reasoning

Front

What is the formula to convert feet to yards?

Back

To convert feet to yards, divide the number of feet by 3.

Front

If a garden is 12 ft long and 15 ft wide, how do you calculate its area in square feet?

Back

Area = length × width. For John's garden, Area = 12 ft × 15 ft = 180 square feet.

Front

How do you calculate average speed?

Back

Average speed = total distance / total time.

Front

If a trip covers 370.5 miles in 6.5 hours, what is the average speed?

Back

Average speed = 370.5 miles / 6.5 hours = 57 mph.

Front

How many pencils can be purchased with $4.50 if 12 pencils cost $3?

Back

If 12 pencils cost $3, then 18 pencils can be purchased with $4.50.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per 1 unit.

Front

If Anna earns $48 for washing cars for 6 hours, what is her hourly rate?

Back

Hourly rate = total earnings / total hours. Anna's hourly rate = $48 / 6 hours = $8 per hour.

Front

How long will it take Anna to earn $72 at her hourly rate?

Back

Time = total earnings / hourly rate. It will take Anna 72 / 8 = 9 hours to earn $72.

Front

What is the average speed of a car that travels 104 miles in 4 hours?

Back

Average speed = total distance / total time = 104 miles / 4 hours = 26 mph.

Front

How do you find the total distance traveled if you know the speed and time?

Back

Total distance = speed × time.