As part of Kayla's exercise program, she either runs 6 miles/day or rides her bike 10 miles/day. Her new goal is to cover a minimum distance of 200 miles, with at least 15 of the days running. She would like to determine the number of days it would take to accomplish this.

Question

Mathematics

Mira Mclaughlin

14 January, 08:21

As part of Kayla's exercise program, she either runs 6 miles/day or rides her bike 10 miles/day. Her new goal is to cover a minimum distance of 200 miles, with at least 15 of the days running. She would like to determine the number of days it would take to accomplish this.

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Answers (1)

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Julia Reyes · Answer 1

To determine the number of days, we need to set up equations relating the given values above. The total distance that Kayla would want to travel is a sum of the total distance she traveled from running and the total distance she traveled from biking. So,

200 miles = (6 miles/day) x + (10 miles/day) y

where x is the number of days she spent running and y is the number of days she spent biking.

If the minimum days she used for biking would be 15 days or y = 15, then

200 miles = (6 miles/day) x + (10 miles/day) (15 days)

Solving for x,

200 = 6x + 150

50 = 6x

x = 8.3333 days

Total number of days = 15 days for biking + 8.3333 days for running = 23.3333 days or about 24 days.