Unit rate word problems worksheet | PDF - Free Printable

1. To find Amy's average speed, use the formula: speed = distance / time.
Distance = 204 miles, time = 3 hours.
Speed = 204 / 3 = 68 miles per hour.
Answer: 68 mph.

2. To find the price per gallon, divide the total cost by the number of gallons.
Total cost = $16.00, gallons = 4.
Price per gallon = 16 / 4 = $4.00.
Answer: $4.00 per gallon.

3. To find the rate in shits per hour, first find the rate in shits per minute, then convert to per hour.
5 shits in 20 minutes.
Rate = 5 / 20 = 0.25 shits per minute.
Convert to per hour: 0.25 × 60 = 15 shits per hour.
Answer: 15 shits per hour.

4. (a) To find the price per gallon, divide the total cost by the number of gallons.
Total cost = $16.80, gallons = 3.
Price per gallon = 16.80 / 3 = $5.60.
Answer: $5.60 per gallon.

(b) To express the price of gasoline in terms of gallons per dollar, take the reciprocal of the price per gallon.
Price per gallon = $5.60, so gallons per dollar = 1 / 5.60 ≈ 0.1786 gallons per dollar.
Answer: Approximately 0.179 gallons per dollar.

(c) Both rates are useful in different contexts.
Price per gallon (dollars per gallon) is useful when you know how much money you have and want to know how many gallons you can buy.
Gallons per dollar (gallons per dollar) is useful when you want to know how much gas you can get for a given amount of money.
Answer: Both rates are useful depending on the context—price per gallon helps with budgeting, gallons per dollar helps with maximizing quantity.

5. To determine if Ashley will make it, calculate how far she can ride in 6 hours at 15 miles per hour.
Distance = speed × time = 15 × 6 = 90 miles.
She needs to ride 96 miles.
Since 90 < 96, she will not make it.
Answer: No, she will not make it.

6. To find Ed's speed, use the formula: speed = distance / time.
Distance = 250 miles, time = 5 hours.
Speed = 250 / 5 = 50 miles per hour.
Answer: 50 mph.

7. To find the best buy, calculate the cost per shirt for each option.
- 6 shirts for $25.50: 25.50 / 6 = $4.25 per shirt.
- 4 shirts for $18.00: 18.00 / 4 = $4.50 per shirt.
- 5 shirts for $21: 21 / 5 = $4.20 per shirt.
Compare: $4.20 < $4.25 < $4.50.
The lowest cost per shirt is $4.20 for 5 shirts.
Answer: 5 shirts for $21 is the best buy.