L8 More About Constant Speed cloned 2/25/2022

Last updated over 3 years ago
14 questions
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8.1: Back on the Treadmill Again

While training for a race, Andre’s dad ran 12 miles in 75 minutes on a treadmill. If he runs at that rate:
How long would it take him to run 8 miles?

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While training for a race, Andre’s dad ran 12 miles in 75 minutes on a treadmill. If he runs at that rate:
How far could he run in 30 minutes?

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8.2: Picnics on the Rail Trail

Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.

After one hour, how far apart will they be?

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Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.

Make a table showing how far apart the two friends are after 0 hours, 1 hour, 2 hours, and 3 hours.

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Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.

At what time will the two friends meet and have their picnic?
*Hint: Add the time to 8am (when they started)

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Kiran says “If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me, it’s the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means by this? Is he correct?

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Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.

Several months later, they both set out at 8:00 a.m. again, this time with Kiran jogging and Clare still walking at 3.4 miles per hour. This time, they meet at 10:30 a.m. How fast was Kiran jogging?

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Are You Ready For More?

Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.

On his trip to meet Clare, Kiran brought his dog with him. At the same time Kiran and Clare started walking, the dog started running 6 miles per hour. When it got to Clare it turned around and ran back to Kiran. When it got to Kiran, it turned around and ran back to Clare, and continued running in this fashion until Kiran and Clare met. How far did the dog run?

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Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.

The next Saturday, the two friends leave at the same time again, and Kiran jogs twice as fast as Clare walks. Where on the rail trail do Kiran and Clare meet?

*The answer should be in miles*

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8.3: Swimming and Biking

Jada bikes 2 miles in 12 minutes. Jada’s cousin swims 1 mile in 24 minutes.

Who was moving faster? How much faster?

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Jada bikes 2 miles in 12 minutes. Jada’s cousin swims 1 mile in 24 minutes.

One day Jada and her cousin line up on the end of a swimming pier on the edge of a lake. At the same time, they start swimming and biking in opposite directions.

How far apart will they be after 15 minutes?

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Jada bikes 2 miles in 12 minutes. Jada’s cousin swims 1 mile in 24 minutes.

One day Jada and her cousin line up on the end of a swimming pier on the edge of a lake. At the same time, they start swimming and biking in opposite directions.

How long will it take them to be 5 miles apart?

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A penguin walks 10 feet in 6 seconds.

At this speed, how far does the penguin walk in 45 seconds?

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A penguin walks 10 feet in 6 seconds.

How long does it take the penguin to walk 45 feet?