Question

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each 1 day and runs the same number of miles each day, the equation ;(105+r) = 20 represents the situation. Which describes the solution, r, to this equation? The solution is 5, which represents the number of miles she runs each day. O The solution is 5, which represents the number of miles she runs each week. The solution is 35, which represents the number of miles she runs each day. O The solution is 35, which represents the number of miles she runs each week.​

Answer 1

The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.

Word problems

According to the task content;

• The total distance covered running and cycling per day is; 20miles

• Additionally, she cycles a total of 105 miles each week.

From the statement above; it follows that;

The number of miles she cycles per day since 7 days make a week is;

• 105/7 = 15.

Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.

On this note, it follows that;

• r = 20 -15 = 5.

Hence, The solution is 5, which represents the number of miles she runs each day.

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