At the track meet, Tara and Emek helped organize the relay team's final practice before the race. The performance board recommended that Runner A sprint 60% of a 1.5-kilometer training distance, while Runner B should sprint 45% of a 2-kilometer distance. Tara calculated that Runner A would sprint 0.9 kilometer, leaving 0.6 kilometer at an easier pace. Emek found that Runner B would also sprint 0.9 kilometer, but would have 1.1 kilometers remaining. Although the runners had different total distances and sprint percentages, their planned sprint distances were equal. Together, the runners would complete 1.8 kilometers at sprint pace and 1.7 kilometers at an easier pace. Tara and Emek used these results to organize the practice so both runners could train at sprint pace without either taking a larger sprint load.

Challenges

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
A larger percentage does not always mean a larger amount. Find each percentage of its total distance.
Runner A sprints 60% of 1.5 kilometers, while Runner B sprints 45% of 2 kilometers. Which statement correctly compares their sprint distances?
Runner A sprints farther because 60% is greater than 45%.Runner B sprints farther because 2 kilometers is greater than 1.5 kilometers.They sprint the same distance because 0.60 * 1.5 and 0.45 * 2 both equal 0.9 kilometer.They sprint the same distance because 60% and 45% are equal percentages.
Correct! Both calculations give a sprint distance of 0.9 kilometer.
Not quite. Calculate each runner's sprint distance before comparing them.
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Hint
Find the difference between 1.1 and 0.6, then express the difference in tenths of a kilometer.
Runner A has 0.6 kilometer at an easier pace, and Runner B has 1.1 kilometers at an easier pace. How many tenths of a kilometer more does Runner B complete at the easier pace than Runner A?
Correct! The difference is 0.5 kilometer, which is 5 tenths of a kilometer.
Try again. Subtract Runner A's easier distance from Runner B's and express the result in tenths.
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Hint
Divide the combined sprint distance by the combined total distance, then multiply by 100.
The two runners complete 1.8 kilometers at sprint pace and 1.7 kilometers at an easier pace. What percentage of their combined 3.5-kilometer training distance is completed at sprint pace, rounded to the nearest whole percent?
49%51%53%60%
Correct! 1.8 out of 3.5 kilometers is about 51% of the combined training distance.
Not quite. Compare the 1.8-kilometer sprint distance with the full 3.5-kilometer training distance.
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Son Bayrak Yarışını Planlamak
TR
ARC_G07_FRD_02_STORY_02
Son Bayrak Yarışını Planlamak
Planning the Final Relay
EN
ARC_G07_FRD_02_STORY_02
Planning the Final Relay