Track Meet: Rates on the Results Board

Use unit prices and constant speeds to make meet-day decisions.

Read the Results Board

Use the results board for Questions 1–5. For these problems, assume each runner maintains a constant speed.

Track Meet Results
Runner	Distance (m)	Time (s)
Amira	100	20
Devon	150	25
Luis	200	40

What is Amira’s speed? meters per second

How far does Devon run in 10 seconds? meters

Which statement correctly compares the runners’ speeds?

A. Amira has the greatest speed.B. Luis has the greatest speed.C. Devon has the greatest speed.D. All three have the same speed.

If Luis continues at his listed speed, how long will he take to run 300 meters? seconds

A meet official walks along the track at 2.5 meters per second.

Amira’s running speed is how many times the official’s walking speed? times

Meet-Day Supply Prices

Find unit prices to solve each problem. Prices include all costs; there are no added fees or taxes.

An 8-bottle pack of water for the finish-line station costs $6. Each bottle contains the same amount.

What is the price per bottle? $ per bottle

A 3/4-pound bag of marking chalk for the track costs $6.

What is the price per pound of chalk? $ per pound

The meet crew needs tape for lane signs. All rolls are the same size. Which pack has the lowest price per roll?

Tape Pack Prices
Pack	Rolls	Price
A	4	$10.00
B	6	$13.50
C	8	$20.00
D	10	$25.00

A. Pack A has the lowest unit price.B. Pack B has the lowest unit price.C. Pack C has the lowest unit price.D. Pack D has the lowest unit price.

Twelve identical lane cones cost $18. Cones can also be purchased individually at the same price per cone. The meet crew has $24.

What is the greatest number of cones the crew can buy? cones

10.

Thirty race bibs cost $12. The supplier charges the same price per bib for any quantity. What will 45 bibs cost?

A. The 45 bibs will cost $8.B. The 45 bibs will cost $15.C. The 45 bibs will cost $27.D. The 45 bibs will cost $18.

Check the Meet Plans

Apply unit rates to each new situation. Assume constant speed during each running segment.

11.

During a practice run, Nia covers 240 meters in 40 seconds. The results-board timer signals when 15 seconds remain in her next run.

At the same speed, how far can Nia run during those remaining 15 seconds? meters

12.

In a practice relay, Omar runs an 80-meter segment at 4 meters per second. Then Jada runs a 120-meter segment at 6 meters per second. There is no time lost during the handoff. What total time should appear on the results board?

A. The total time should be 40 seconds.B. The total time should be 20 seconds.C. The total time should be 50 seconds.D. The total time should be 200 seconds.

13.

The awards crew needs exactly 60 identical ribbons. Supplier A sells packs of 12 for $9. Supplier B sells packs of 20 for $14. The crew must buy whole packs.

How much less does buying 60 ribbons from Supplier B cost than buying 60 from Supplier A? $

14.

A student reads the results board and says, “Amira ran 100 meters in 20 seconds, and Devon ran 150 meters in 25 seconds. Amira was faster because 20 seconds is less than 25 seconds.” Is the student correct? Use unit rates to explain your reasoning.