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------------------------------------------------ 1. Mariya ran 14 miles in one week. At that rate, how many miles would she run in 5 days?

2. Analyze: The triathlete swam 2 miles in 56 minutes, rode his bicycle 100 miles in 5 hours, and ran 20 miles in 160 minutes. How many minutes did it take him to complete the course? During which portion of the race did he have the greatest average speed?

Mariya would run 10 miles in 5 days. The triathlete took 516 minutes to complete the course, with swimming being the portion of the race with the greatest average speed.

Explanation:

To find out how many miles Mariya would run in 5 days, we need to calculate her average rate of running per day. Since she ran 14 miles in one week (7 days), her average rate is 14 / 7 = 2 miles per day. Therefore, in 5 days, she would run 5 * 2 = 10 miles.

To find out how long it took the triathlete to complete the course, we need to add up the times for each portion of the race. The triathlete swam 2 miles in 56 minutes, rode his bicycle 100 miles in 5 hours (which is 5 * 60 = 300 minutes), and ran 20 miles in 160 minutes. Adding these times together, we get 56 + 300 + 160 = 516 minutes.

The portion of the race where the triathlete had the greatest average speed is determined by comparing the distances covered and the corresponding times taken. The greatest average speed occurs during the swimming portion since the triathlete covered the shortest distance in the fastest time. Therefore, swimming is the portion of the race with the greatest average speed.

Learn more about calculating distance and time for running and triathlon races here:

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