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 mini

Question

3 months ago

6

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 mini

mum 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.

Mathematics

2 answers:

lawyer [12.5K] · Answer 1 · 2026-02-25T08:32:16+03:00

To find out the number of days, we should create equations based on the values provided. The total distance Kayla aims to travel combines both her running distance and her biking distance.

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

where x signifies the days she spent running and y represents the days bike riding.

If the minimum biking days are set to be 15, indicated by y = 15, we have:

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

Solving for x gives:
200 = 6x + 150
50 = 6x
x = 8.3333 days

Total days = 15 days biking + 8.3333 days running = 23.3333 days, approximately making it 24 days.

babunello [11.8K] · Answer 2 · 2026-02-25T08:33:30+03:00

Response:

Kayla will manage to achieve the 200 miles distance by biking for 11 days and running for 15 days.

Detailed explanation:

The days Kayla runs will be denoted as x.

The days Kayla rides the bike will be noted as y.

Her running speed is 6 miles per day.

The distance she runs in x days equals 6 miles/day × x.

Her biking speed is 10 miles per day.

The distance she bikes in y days equals 10 miles/day × y.

Kayla's required distance is 200 miles.

$200miles=6 miles/day\times x+10 miles/day \times y$

With at least 15 days of running, substitute x = 15 days in the earlier equation:

$200miles=6 miles/day\times 15 days+10 miles/day \times y$

$200 miles - 90 miles=10 miles/day \times y$

$\frac{110 miles}{10 miles/day}=y$

y = 11 days.

Kayla will manage to achieve the 200 miles distance by biking for 11 days and running for 15 days.