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**Calculate Speed, Distance, or Time from the Equation.**

Speed is calculated in Km/hr or in Miles/hr.

- Start by checking the box that says “Show SDT Triangle.”
- If you check either the Distance or speed boxes, you will be given the time in minutes.
- Convert the time to hours.
- Check the “Time( hrs)” box to verify your answer.
- Use the triangle rule on the right to calculate the Distance.
- Check the Solution box to confirm your answer.

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**Investigate Constant Speed.**

- Both riders are cycling in
. Choose different speeds for both riders. For example 5**Miles Per Hour***MPH*and 8*MPH*. - Click on the
**Green**light to start the race. - As the riders progress, click the
**Stop**light. - Record the time that has elapsed first, and the the distances they have covered.
- To return to the margin, click at the top left corner of the table.
- Record at least 5 readings. Do not round your values to a whole number.

**Use the Table below to enter your values.**

Divide each instantaneous value of the distance covered by both riders by the time that elapsed, and enter them in the table below. Round your answer to 1 decimal place.

(1). Is the speed for Rider A consistent?

(2) Is the speed for Rider B consistent?

(3). The ratio of their original speeds is 5:8. Do you expect this ratio to be equivalent to the ratio of their speed after your calculations? Explain why.

Repeat the activity above using different speed value for the riders.

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** Exercises on Distance and Time Relation**

Read the question statements below and answer the questions that follow.

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.

(1). After one hour, how far apart will they be?

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

(3). At what time will the two friends meet and have their picnic?

(4). 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?

(5). 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?

(6). 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?

(7). 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?

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At 10:00 a.m., Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han runs at a pace of 12 minutes per mile. Tyler runs at a pace of 15 minutes per mile.

(1). How far does Han run after a half hour? After an hour?

(2). Do Han and Tyler meet on the path within 1 hour? Explain or show your reasoning.

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Jada bikes 2 miles in 12 minutes. Jada’s cousin swims 1 mile in 24 minutes. Who is moving faster? How much faster?

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

(1). How far apart will they be after 15 minutes?

(2). How long will it take them to be 5 miles apart?

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