Math7 - Rates.pdf

# Mile 1 mile miles 3 miles 1 day 5 days 100 days 500

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! " mile 1 mile " ! miles 3 miles 1 day 5 days 100 days 500 days 6 days 9 days 12 days 15 days 15 minutes 20 minutes 30 minutes 45 minutes CHALLENGE QUESTIONS C1. When you ride your bike to the top of a 30-mile long hill, you average 10 miles per hour. When you turn around and return to your starting location, you average 30 mph. What is your average speed for the entire trip? Your answer:

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C2. Two runners start on opposite ends of a circular track and begin running in opposite directions (towards each other). The distance around the track is 400 meters. If the first runner runs at a speed of 4 m/s and the second runner runs at a speed of 6 m/s how many times will they pass each other in 2 minutes? Use the same image from the previous problem for this question. Keller and Leon agree that instead of running into each other, they’ll actually take turns vaulting over each other when they meet, with Keller vaulting over Leon first. If they start back-to- back on the 120-meter race track and both race at a rate of 15 m/s how many times will Keller vault over Leon in 61 seconds? THE CULMINATION Your answer: C3. Keller and Leon are parked back-to-back on the same circular, 120-meter racetrack. Flags are placed every 10 meters along the track, and labelled from 0 to 11. They start driving at the flag labelled 0 at the same time in opposite directions. If Keller races at a constant speed of 10 m/s in the direction of increasing flag numbers and Leon races at a constant speed of 20 m/s in the opposite direction, at which flag will they collide? Your answer: Your answer:
SKILL PRACTICE S2. Bill Senior can craft a bow in 3 days. Bill Junior can craft a bow in 6 days. How long does it take them together to create 6 bows? S1. We see lightning before we hear thunder because light travels much faster than sound through our atmosphere. Given that a mile is about 5000 ft and sound travels at about 1000 ft/s, how far away is a lightning strike if you hear the thunder 3 seconds after you see the lightning bolt? S3. If 5 hens can hatch 5 eggs in 5 days, how long does it take for 100 hens to hatch 100 eggs? RATES ! " mile 1 mile " ! miles 3 miles 1 day 5 days 100 days 500 days 6 days 9 days 12 days 15 days SOLUTIONS Because Bill Senior can craft a bow in 3 days, he can craft 2 bows in 6 days. All together, the two Bill's can craft 3 bows in 6 days. Therefore, they can craft 6 bows in 12 days: ! \$%&’ ( )*+’ = ( \$%&’ -. )*+’ .

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• Summer '18
• Meghan Craft
• Math, Algebra, Miles per hour, Leon, C3. Keller

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