Question

James and Aaron run cross country. James has already run 6 miles this month and plans to run 3 miles each day over the next several days. Aaron hasn't run this month yet but plans to run 4 miles each day over the next several days what is the system of linear equations representing the miles run for both James and Aaron based on the number of days? what is the solution to the system and explain what it represents in the context of the situation?

Answer 1

Answer:

Step-by-step explanation:

Step one:

for James

the initial mile covered= 6miles

the planned number of miles per day= 3miles

let the number of days be x

and the total distance in miles be y

the total distance for the x days day will be

y=6+3x------------1

step two:

for Aaron

the planned number of miles per day= 4miles

let the number of days be x

and the total distance in miles be y

the total distance for the x days day will be

y=4x------------2

The system of equations is

y=6+3x--2

y=4x----2

Step three:

for the number of days that Aaron needs to run to meet up with James, we need to equate the two equations to find x which is the solution

6+3x=4x

6=4x-3x

x=6days

This means that Aaron will have to run at 4mile per day consistently for 6 days to meet up with James