This document contains 15 math word problems involving unit rates, rates, ratios, and proportions. The problems require calculating speeds, prices per unit, production rates, distances traveled at constant rates, and comparing unit rates to determine the best buy. Students must set up and solve equations to find the requested information like time, distance, cost, or rate.
1. NAME: _____________________________ DATE: _____________ %______ 7gr
Double Number Line/ Unit Rate Problems
1. Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her
average speed?
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2. Four gallons of gasoline cost $16.80. What is the price per gallon?
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3. A T-shirt launcher can launch 5 shirts in 20 minutes. What is the rate in shirts per hour?
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4. Four gallons of gasoline cost $16.80.
(a) What is the price per gallon?
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(b) What is the price of gasoline in terms of gallons per dollar?
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(c) Do we need both rates? In real life, when will each rate become useful?
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5. Ashley needs to ride her bike to her friend’s house 96 miles away. She is riding at an average
rate of 15 miles per hour. She has 6 hours to get there. Will she make it?
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6. Ed drives from Jefferson to Holden, a distance of 250 miles. He then travels on to Paxton, which
is 50 miles from Holden. If it takes him 5 hours to complete the entire trip, how fast was he
traveling if he is traveling at a constant speed?
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7. Which is the best buy?
6 shirts for $25.50 4 shirts for $18.00 5 shirts for $21
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2. 8. Lauren took 12 hours to read a 360 page book. At this rate, how long will it take her to read a
400 page book?
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9. Pat wants to enter a typing contest. In order to enter, one has to be able to type 50 words per
minute. Pat took 15 seconds to type 10 words. Can he enter the contest?
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10. Tierra decided to participate in a walk-a-thon for charity. She walked 18 miles in 252 minutes.
How long would it take Tierra to walk 26 miles?
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11. A company produces 39 wetsuits every 2 weeks. How long will it take the company to
produce 429 wetsuits?
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12. Mr. Jonas bought a bag of oranges for $12.50. the bag contains 15 oranges. Find the unit
cost to the nearest cent.
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13. Isabel drove her truck 225 miles in 3 hours. What was her unit rate?
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14. A group of friends jogged during lunch time. After 60 minutes, they jogged 6 miles. If they
keep a steady pace, then how far had they jogged after 45 minutes.
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15. A bird flew at 13 miles per hour for 2 hours. Then the bird flew at 15 miles per hour for 3
hours. How far did the bird fly in all?
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GO BACK AND CHECK YOUR SCORRES.