Question

Marcus played 333 different activities this week after school. The time he spent playing is described below. Swam for d910 10 9 ​ start tion, 9, divided by, 10, end tion of an hour Played soccer for d23 3 2 ​ start tion, 2, divided by, 3, end tion of an hour Jogged for d24 4 2 ​ start tion, 2, divided by, 4, end tion of an hour Which statement correctly compares the times of 222 of his activities?

A) Marcus played soccer for less time than he jogged.

B) Marcus jogged for more time than he swam.

C) Marcus swam for more time than he played soccer.

Answer 1

The correct comparison of the activities based on the given times is that Marcus swam for more time than he played soccer. To arrive at this conclusion, the fractional times were converted into decimal hours and compared directly.

Step-by-step explanation:

The question pertains to comparing the duration of different activities in which Marcus participated. We have to analyze the time spent in each activity and draw the correct comparison.

The time Marcus spent in each activity is represented as factions of an hour. Swam for ⅙ of an hour (which is 0.9 hours), played soccer for ⅔ of an hour (which is approximately 0.6667 hours), and jogged for ½ of an hour (which is 0.5 hours).

Now we can directly compare the activities:

• Soccer (⅔ hour) versus Jogging (½ hour): Marcus played soccer for longer than he jogged because 0.6667 hours is more than 0.5 hours. Thus, statement A is incorrect since it states the contrary.
• Jogging (½ hour) versus Swimming (⅙ hour): Marcus jogged for less time than he swam, as 0.5 hours is less than 0.9 hours. Therefore, statement B is incorrect.
• Swimming (⅙ hour) versus Soccer (⅔ hour): Marcus swam for more time than he played soccer since 0.9 hours is greater than 0.6667 hours. Therefore, statement C is correct.