Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion for a word problem?

Back

Identify the two quantities that are being compared and set them equal to each other in fraction form.

Front

If 1 inch on a map represents 20 miles, how do you find the real distance for 2.5 inches?

Back

Multiply 2.5 inches by 20 miles/inch to get 50 miles.

Front

What is the formula to find distance when speed and time are known?

Back

Distance = Speed × Time.

Front

If a train travels 500 miles in 10 hours, what is its speed?

Back

Speed = Distance ÷ Time = 500 miles ÷ 10 hours = 50 miles/hour.

Front

How far can a train travel in 15 hours if it travels at 50 miles/hour?

Back

Distance = Speed × Time = 50 miles/hour × 15 hours = 750 miles.

Front

A machine produces 200 widgets in 5 hours. How many widgets does it produce in 1 hour?

Back

Rate = Total Widgets ÷ Total Time = 200 widgets ÷ 5 hours = 40 widgets/hour.

Front

If a machine produces 40 widgets/hour, how many widgets can it produce in 8 hours?

Back

Widgets = Rate × Time = 40 widgets/hour × 8 hours = 320 widgets.

Front

If 1 inch on a map represents 10 miles, how far is 3.5 inches in real life?

Back

Multiply 3.5 inches by 10 miles/inch to get 35 miles.

Front

What is the relationship between distance, speed, and time?

Back

Distance is directly proportional to speed and time; if one increases, the distance increases.