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Bell Work

31.5 miles per gallon. Bell Work. John's car can travel 94.5 miles on 3 gallons of gas. How many miles per gallon can the car travel? A snake can slither 240 feet in half a day. How many feet can the snake move in an hour? 20 feet per hour

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Bell Work

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  1. 31.5 miles per gallon Bell Work John's car can travel 94.5 miles on 3 gallons of gas. How many miles per gallon can the car travel? A snake can slither 240 feet in half a day. How many feet can the snake move in an hour? 20 feet per hour Jim traveled 480 miles on a full tank of gas. His gas tank holds 15 gallons. Tara traveled 540 miles on a full tank of gas. Her gas tank holds 18 gallons. Which person's car gets better gas mileage? Jim’s car There are 4 girls for every 10 boys at the party. There are 14 girls at the party. How many boys are there? 35

  2. Rate-Time-Distance Problems

  3. A car travels 90 miles at 36 miles per hour. How long does it take? Answer: We want to find the TIME, so cover up the T in the triangle which leaves D ÷ R . D So Time = Distance ÷ Rate T= D÷R = 90 miles ÷ 36 mph = 2.5 hours R T

  4. Joey took his motorcycle on a 54 mile round trip ride through the desert. It took him 2 hours to do this. On average, how fast was Joey traveling? Answer: We want to find the Rate, so cover up the R in the triangle which leaves D ÷ T . D Rate = Distance ÷ Time R = D ÷ T = 54 miles ÷ 2 h = 27 mph R T

  5. A truck travels at 60 miles per hour for 1.5 hours. How far does it travel? Answer: We want to find the DISTANCE, so cover up the D in the triangle which leaves R x T . So Distance = Rate x Time D = R x T = 60 mph x 1.5 h = 90 miles D R T

  6. Distance Time 28 = 1.75 A windsurfer travelled 28 km in 1 hour 45 mins. Calculate his speed. Rate = 1 hour 45 mins D = 16 km/h R T Answer: His speed was 16 km / hour

  7. A salesman travelled at an average speed of 50 km/h for 2 hours 30 mins. How far did he travel? Distance = Rate x Time = 50 x 2.5 2 hour 30 mins D = 125 km R T Answer: He travelled 125 km

  8. Distance Rate 555 = 60 A train travelled 555 miles at an average speed of 60 mph. How long did the journey take? Time = D = 9.25 hours = 9 hours 15 mins R T Answer: It took 9 hours 15 minutes

  9. Rate Time Distance Sherry Bob Two cars leave the same town at the same time. One travels north at 60 mph and the other south at 45 mph. In how many hours will they be 420 miles apart? t Car #1 60 60t t 45t Car #2 45

  10. Rate Time Distance Sherry Bob Car #1 60 t 60t 45 t 45t Car #2 In 4 hours the cars will be 420 miles apart.

  11. Check R • T = D Two cars leave the same town at the same time. One travels north at 60 mph and the other south at 45 mph. In how many hours will they be 420 miles apart? CHECK t = 4 hours 60 · 4 + 45 · 4 = 420 ?? 240 + 180 = 420 OK They will be 420 miles apart in 4 hours.

  12. Rate Time Distance Sherry Bob At 10:00 A.M., a car leaves a house at a rate of 60 mi/h. At the same time, another car leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the car be 330 miles apart? t Car #1 60 60t t 50t Car #2 50 1:00 P.M.

  13. Juan and Amal leave DC at the same time headed south on I-95. If Juan averages 60 mph and Amal averages 72 mph how long will it take them to be 30 miles apart? (Now would be a good time for a guess. Write yours down and try it in this table.)

  14. Rate Time Distance Juan 60 x 60x Amal 72 x 72x We are looking for a time where Juan and Amal will be 30 miles apart. How do we represent the distance between the two men? 60x - 72x Or is it 72x - 60x. Which of these two would be positive? The correct equation is 72x - 60 x = 30

  15. The purpose of the grid is to find an algebraic name for each distance. Notice that the distance 30 miles does not appear in the grid because neither Juan nor Amal traveled 30 miles. Notice also that we could use x for each time since Juan and Amal were on the road for the same amount of time. We will need to work 30 miles into the equation as follows: • 72x – 60x = 30 12x = 30 • x = 2.5 hrs.

  16. Practice: Distance Story Problems worksheet

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